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Finding the Fourth Proportional to 415,509.60, 623,264.40 and 135,055.20

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Solution

The fourth proportional to 415,509.60, 623,264.40 and 135,055.20 is: 202,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,509.60 : 623,264.40 = 135,055.20 : x
  2. Step 2: Convert to fraction form
    415,509.60/623,264.40 = 135,055.20/x
  3. Step 3: Cross multiply
    415,509.60x = 623,264.40 × 135,055.20
  4. Step 4: Simplify right side
    415,509.60x = 84,175,098,194.88
  5. Step 5: Solve for x
    x = 84,175,098,194.88/415,509.60
  6. Step 6: Final answer
    x = 202,582.80

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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.