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Finding the Fourth Proportional to 413,743.40, 620,615.10 and 256,279.40

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Solution

The fourth proportional to 413,743.40, 620,615.10 and 256,279.40 is: 384,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,743.40 : 620,615.10 = 256,279.40 : x
  2. Step 2: Convert to fraction form
    413,743.40/620,615.10 = 256,279.40/x
  3. Step 3: Cross multiply
    413,743.40x = 620,615.10 × 256,279.40
  4. Step 4: Simplify right side
    413,743.40x = 159,050,865,458.94
  5. Step 5: Solve for x
    x = 159,050,865,458.94/413,743.40
  6. Step 6: Final answer
    x = 384,419.10

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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.