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Finding the Fourth Proportional to 652,165.60, 978,248.40 and 439,589.20

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Solution

The fourth proportional to 652,165.60, 978,248.40 and 439,589.20 is: 659,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,165.60 : 978,248.40 = 439,589.20 : x
  2. Step 2: Convert to fraction form
    652,165.60/978,248.40 = 439,589.20/x
  3. Step 3: Cross multiply
    652,165.60x = 978,248.40 × 439,589.20
  4. Step 4: Simplify right side
    652,165.60x = 430,027,431,557.28
  5. Step 5: Solve for x
    x = 430,027,431,557.28/652,165.60
  6. Step 6: Final answer
    x = 659,383.80

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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.