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Finding the Fourth Proportional to 527,521.66, 727,980.06 and 285,805.90

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Solution

The fourth proportional to 527,521.66, 727,980.06 and 285,805.90 is: 394,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,521.66 : 727,980.06 = 285,805.90 : x
  2. Step 2: Convert to fraction form
    527,521.66/727,980.06 = 285,805.90/x
  3. Step 3: Cross multiply
    527,521.66x = 727,980.06 × 285,805.90
  4. Step 4: Simplify right side
    527,521.66x = 208,060,996,230.35
  5. Step 5: Solve for x
    x = 208,060,996,230.35/527,521.66
  6. Step 6: Final answer
    x = 394,412.23

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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.