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Finding the Fourth Proportional to 527,883.98, 728,470.95 and 298,437.80

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Solution

The fourth proportional to 527,883.98, 728,470.95 and 298,437.80 is: 411,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,883.98 : 728,470.95 = 298,437.80 : x
  2. Step 2: Convert to fraction form
    527,883.98/728,470.95 = 298,437.80/x
  3. Step 3: Cross multiply
    527,883.98x = 728,470.95 × 298,437.80
  4. Step 4: Simplify right side
    527,883.98x = 217,403,267,681.91
  5. Step 5: Solve for x
    x = 217,403,267,681.91/527,883.98
  6. Step 6: Final answer
    x = 411,839.11

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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.