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Finding the Fourth Proportional to 257,710.46, 386,559.90 and 89,220.60

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Solution

The fourth proportional to 257,710.46, 386,559.90 and 89,220.60 is: 133,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,710.46 : 386,559.90 = 89,220.60 : x
  2. Step 2: Convert to fraction form
    257,710.46/386,559.90 = 89,220.60/x
  3. Step 3: Cross multiply
    257,710.46x = 386,559.90 × 89,220.60
  4. Step 4: Simplify right side
    257,710.46x = 34,489,106,213.94
  5. Step 5: Solve for x
    x = 34,489,106,213.94/257,710.46
  6. Step 6: Final answer
    x = 133,828.90

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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.