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Finding the Fourth Proportional to 287,612.10, 431,414.10 and 129,840.30

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Solution

The fourth proportional to 287,612.10, 431,414.10 and 129,840.30 is: 194,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,612.10 : 431,414.10 = 129,840.30 : x
  2. Step 2: Convert to fraction form
    287,612.10/431,414.10 = 129,840.30/x
  3. Step 3: Cross multiply
    287,612.10x = 431,414.10 × 129,840.30
  4. Step 4: Simplify right side
    287,612.10x = 56,014,936,168.23
  5. Step 5: Solve for x
    x = 56,014,936,168.23/287,612.10
  6. Step 6: Final answer
    x = 194,758.62

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1.5x scale

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.