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Finding the Fourth Proportional to 527,537.80, 728,332.32 and 406,449.28

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Solution

The fourth proportional to 527,537.80, 728,332.32 and 406,449.28 is: 561,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,537.80 : 728,332.32 = 406,449.28 : x
  2. Step 2: Convert to fraction form
    527,537.80/728,332.32 = 406,449.28/x
  3. Step 3: Cross multiply
    527,537.80x = 728,332.32 × 406,449.28
  4. Step 4: Simplify right side
    527,537.80x = 296,030,147,064.73
  5. Step 5: Solve for x
    x = 296,030,147,064.73/527,537.80
  6. Step 6: Final answer
    x = 561,154.38

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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.