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Finding the Fourth Proportional to 257,809.87, 386,708.86 and 151,865.90

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Solution

The fourth proportional to 257,809.87, 386,708.86 and 151,865.90 is: 227,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,809.87 : 386,708.86 = 151,865.90 : x
  2. Step 2: Convert to fraction form
    257,809.87/386,708.86 = 151,865.90/x
  3. Step 3: Cross multiply
    257,809.87x = 386,708.86 × 151,865.90
  4. Step 4: Simplify right side
    257,809.87x = 58,727,889,061.87
  5. Step 5: Solve for x
    x = 58,727,889,061.87/257,809.87
  6. Step 6: Final answer
    x = 227,795.35

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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.