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Finding the Fourth Proportional to 649,514.40, 974,271.60 and 413,901.60

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Solution

The fourth proportional to 649,514.40, 974,271.60 and 413,901.60 is: 620,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,514.40 : 974,271.60 = 413,901.60 : x
  2. Step 2: Convert to fraction form
    649,514.40/974,271.60 = 413,901.60/x
  3. Step 3: Cross multiply
    649,514.40x = 974,271.60 × 413,901.60
  4. Step 4: Simplify right side
    649,514.40x = 403,252,574,074.56
  5. Step 5: Solve for x
    x = 403,252,574,074.56/649,514.40
  6. Step 6: Final answer
    x = 620,852.40

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.