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Finding the Fourth Proportional to 418,005.60, 627,008.40 and 415,672.80

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Solution

The fourth proportional to 418,005.60, 627,008.40 and 415,672.80 is: 623,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,005.60 : 627,008.40 = 415,672.80 : x
  2. Step 2: Convert to fraction form
    418,005.60/627,008.40 = 415,672.80/x
  3. Step 3: Cross multiply
    418,005.60x = 627,008.40 × 415,672.80
  4. Step 4: Simplify right side
    418,005.60x = 260,630,337,251.52
  5. Step 5: Solve for x
    x = 260,630,337,251.52/418,005.60
  6. Step 6: Final answer
    x = 623,509.20

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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.