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Finding the Fourth Proportional to 287,294.52, 430,876.98 and 109,738.20

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Solution

The fourth proportional to 287,294.52, 430,876.98 and 109,738.20 is: 164,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,294.52 : 430,876.98 = 109,738.20 : x
  2. Step 2: Convert to fraction form
    287,294.52/430,876.98 = 109,738.20/x
  3. Step 3: Cross multiply
    287,294.52x = 430,876.98 × 109,738.20
  4. Step 4: Simplify right side
    287,294.52x = 47,283,664,206.64
  5. Step 5: Solve for x
    x = 47,283,664,206.64/287,294.52
  6. Step 6: Final answer
    x = 164,582.55

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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.