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Finding the Fourth Proportional to 418,562.64, 627,931.44 and 138,276.72

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Solution

The fourth proportional to 418,562.64, 627,931.44 and 138,276.72 is: 207,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,562.64 : 627,931.44 = 138,276.72 : x
  2. Step 2: Convert to fraction form
    418,562.64/627,931.44 = 138,276.72/x
  3. Step 3: Cross multiply
    418,562.64x = 627,931.44 × 138,276.72
  4. Step 4: Simplify right side
    418,562.64x = 86,828,299,908.08
  5. Step 5: Solve for x
    x = 86,828,299,908.08/418,562.64
  6. Step 6: Final answer
    x = 207,443.98

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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.