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Finding the Fourth Proportional to 527,689.83, 728,212.60 and 285,972.40

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Solution

The fourth proportional to 527,689.83, 728,212.60 and 285,972.40 is: 394,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,689.83 : 728,212.60 = 285,972.40 : x
  2. Step 2: Convert to fraction form
    527,689.83/728,212.60 = 285,972.40/x
  3. Step 3: Cross multiply
    527,689.83x = 728,212.60 × 285,972.40
  4. Step 4: Simplify right side
    527,689.83x = 208,248,703,502.38
  5. Step 5: Solve for x
    x = 208,248,703,502.38/527,689.83
  6. Step 6: Final answer
    x = 394,642.25

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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.