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Finding the Fourth Proportional to 649,618.40, 974,427.60 and 471,288.80

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Solution

The fourth proportional to 649,618.40, 974,427.60 and 471,288.80 is: 706,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,618.40 : 974,427.60 = 471,288.80 : x
  2. Step 2: Convert to fraction form
    649,618.40/974,427.60 = 471,288.80/x
  3. Step 3: Cross multiply
    649,618.40x = 974,427.60 × 471,288.80
  4. Step 4: Simplify right side
    649,618.40x = 459,236,814,290.88
  5. Step 5: Solve for x
    x = 459,236,814,290.88/649,618.40
  6. Step 6: Final answer
    x = 706,933.20

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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.