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Finding the Fourth Proportional to 309,869.28, 464,821.20 and 88,236

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Solution

The fourth proportional to 309,869.28, 464,821.20 and 88,236 is: 132,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,869.28 : 464,821.20 = 88,236 : x
  2. Step 2: Convert to fraction form
    309,869.28/464,821.20 = 88,236/x
  3. Step 3: Cross multiply
    309,869.28x = 464,821.20 × 88,236
  4. Step 4: Simplify right side
    309,869.28x = 41,013,963,403.20
  5. Step 5: Solve for x
    x = 41,013,963,403.20/309,869.28
  6. Step 6: Final answer
    x = 132,358.92

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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.