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Finding the Fourth Proportional to 312,143.31, 468,214.98 and 132,257.10

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Solution

The fourth proportional to 312,143.31, 468,214.98 and 132,257.10 is: 198,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,143.31 : 468,214.98 = 132,257.10 : x
  2. Step 2: Convert to fraction form
    312,143.31/468,214.98 = 132,257.10/x
  3. Step 3: Cross multiply
    312,143.31x = 468,214.98 × 132,257.10
  4. Step 4: Simplify right side
    312,143.31x = 61,924,755,431.36
  5. Step 5: Solve for x
    x = 61,924,755,431.36/312,143.31
  6. Step 6: Final answer
    x = 198,385.66

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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.