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Finding the Fourth Proportional to 287,630.10, 431,441.10 and 129,858.30

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Solution

The fourth proportional to 287,630.10, 431,441.10 and 129,858.30 is: 194,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,630.10 : 431,441.10 = 129,858.30 : x
  2. Step 2: Convert to fraction form
    287,630.10/431,441.10 = 129,858.30/x
  3. Step 3: Cross multiply
    287,630.10x = 431,441.10 × 129,858.30
  4. Step 4: Simplify right side
    287,630.10x = 56,026,207,796.13
  5. Step 5: Solve for x
    x = 56,026,207,796.13/287,630.10
  6. Step 6: Final answer
    x = 194,785.62

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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.