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Finding the Fourth Proportional to 721,409.34, 995,863.77 and 431,123.34

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Solution

The fourth proportional to 721,409.34, 995,863.77 and 431,123.34 is: 595,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,409.34 : 995,863.77 = 431,123.34 : x
  2. Step 2: Convert to fraction form
    721,409.34/995,863.77 = 431,123.34/x
  3. Step 3: Cross multiply
    721,409.34x = 995,863.77 × 431,123.34
  4. Step 4: Simplify right side
    721,409.34x = 429,340,114,707.39
  5. Step 5: Solve for x
    x = 429,340,114,707.39/721,409.34
  6. Step 6: Final answer
    x = 595,140.78

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.