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Finding the Fourth Proportional to 527,760, 728,304.71 and 286,036.38

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Solution

The fourth proportional to 527,760, 728,304.71 and 286,036.38 is: 394,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,760 : 728,304.71 = 286,036.38 : x
  2. Step 2: Convert to fraction form
    527,760/728,304.71 = 286,036.38/x
  3. Step 3: Cross multiply
    527,760x = 728,304.71 × 286,036.38
  4. Step 4: Simplify right side
    527,760x = 208,321,641,355.17
  5. Step 5: Solve for x
    x = 208,321,641,355.17/527,760
  6. Step 6: Final answer
    x = 394,727.98

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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.