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Finding the Fourth Proportional to 510,058.56, 764,759.78 and 243,813.18

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Solution

The fourth proportional to 510,058.56, 764,759.78 and 243,813.18 is: 365,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,058.56 : 764,759.78 = 243,813.18 : x
  2. Step 2: Convert to fraction form
    510,058.56/764,759.78 = 243,813.18/x
  3. Step 3: Cross multiply
    510,058.56x = 764,759.78 × 243,813.18
  4. Step 4: Simplify right side
    510,058.56x = 186,458,513,897.90
  5. Step 5: Solve for x
    x = 186,458,513,897.90/510,058.56
  6. Step 6: Final answer
    x = 365,562.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.