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Finding the Fourth Proportional to 387,276.48, 581,142 and 162,619.56

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Solution

The fourth proportional to 387,276.48, 581,142 and 162,619.56 is: 244,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,276.48 : 581,142 = 162,619.56 : x
  2. Step 2: Convert to fraction form
    387,276.48/581,142 = 162,619.56/x
  3. Step 3: Cross multiply
    387,276.48x = 581,142 × 162,619.56
  4. Step 4: Simplify right side
    387,276.48x = 94,505,056,337.52
  5. Step 5: Solve for x
    x = 94,505,056,337.52/387,276.48
  6. Step 6: Final answer
    x = 244,024.78

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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.