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Finding the Fourth Proportional to 721,762.57, 995,964.85 and 431,316.49

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Solution

The fourth proportional to 721,762.57, 995,964.85 and 431,316.49 is: 595,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,762.57 : 995,964.85 = 431,316.49 : x
  2. Step 2: Convert to fraction form
    721,762.57/995,964.85 = 431,316.49/x
  3. Step 3: Cross multiply
    721,762.57x = 995,964.85 × 431,316.49
  4. Step 4: Simplify right side
    721,762.57x = 429,576,065,858.20
  5. Step 5: Solve for x
    x = 429,576,065,858.20/721,762.57
  6. Step 6: Final answer
    x = 595,176.43

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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.