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Finding the Fourth Proportional to 527,521.65, 727,978.89 and 285,810.24

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Solution

The fourth proportional to 527,521.65, 727,978.89 and 285,810.24 is: 394,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,521.65 : 727,978.89 = 285,810.24 : x
  2. Step 2: Convert to fraction form
    527,521.65/727,978.89 = 285,810.24/x
  3. Step 3: Cross multiply
    527,521.65x = 727,978.89 × 285,810.24
  4. Step 4: Simplify right side
    527,521.65x = 208,063,821,265.83
  5. Step 5: Solve for x
    x = 208,063,821,265.83/527,521.65
  6. Step 6: Final answer
    x = 394,417.60

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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.