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Finding the Fourth Proportional to 438,043.20, 656,935.20 and 171,650.40

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Solution

The fourth proportional to 438,043.20, 656,935.20 and 171,650.40 is: 257,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,043.20 : 656,935.20 = 171,650.40 : x
  2. Step 2: Convert to fraction form
    438,043.20/656,935.20 = 171,650.40/x
  3. Step 3: Cross multiply
    438,043.20x = 656,935.20 × 171,650.40
  4. Step 4: Simplify right side
    438,043.20x = 112,763,189,854.08
  5. Step 5: Solve for x
    x = 112,763,189,854.08/438,043.20
  6. Step 6: Final answer
    x = 257,424.82

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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.