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Finding the Fourth Proportional to 257,762.16, 386,487.94 and 115,581.70

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Solution

The fourth proportional to 257,762.16, 386,487.94 and 115,581.70 is: 173,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,762.16 : 386,487.94 = 115,581.70 : x
  2. Step 2: Convert to fraction form
    257,762.16/386,487.94 = 115,581.70/x
  3. Step 3: Cross multiply
    257,762.16x = 386,487.94 × 115,581.70
  4. Step 4: Simplify right side
    257,762.16x = 44,670,933,134.70
  5. Step 5: Solve for x
    x = 44,670,933,134.70/257,762.16
  6. Step 6: Final answer
    x = 173,302.91

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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.