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Finding the Fourth Proportional to 438,650.32, 657,979.32 and 106,226.64

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Solution

The fourth proportional to 438,650.32, 657,979.32 and 106,226.64 is: 159,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,650.32 : 657,979.32 = 106,226.64 : x
  2. Step 2: Convert to fraction form
    438,650.32/657,979.32 = 106,226.64/x
  3. Step 3: Cross multiply
    438,650.32x = 657,979.32 × 106,226.64
  4. Step 4: Simplify right side
    438,650.32x = 69,894,932,353.08
  5. Step 5: Solve for x
    x = 69,894,932,353.08/438,650.32
  6. Step 6: Final answer
    x = 159,340.89

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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.