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Finding the Fourth Proportional to 526,810.50, 727,003.62 and 285,098.13

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Solution

The fourth proportional to 526,810.50, 727,003.62 and 285,098.13 is: 393,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,810.50 : 727,003.62 = 285,098.13 : x
  2. Step 2: Convert to fraction form
    526,810.50/727,003.62 = 285,098.13/x
  3. Step 3: Cross multiply
    526,810.50x = 727,003.62 × 285,098.13
  4. Step 4: Simplify right side
    526,810.50x = 207,267,372,565.23
  5. Step 5: Solve for x
    x = 207,267,372,565.23/526,810.50
  6. Step 6: Final answer
    x = 393,438.20

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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.