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Finding the Fourth Proportional to 280,439.84, 420,715.20 and 102,948.38

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Solution

The fourth proportional to 280,439.84, 420,715.20 and 102,948.38 is: 154,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,439.84 : 420,715.20 = 102,948.38 : x
  2. Step 2: Convert to fraction form
    280,439.84/420,715.20 = 102,948.38/x
  3. Step 3: Cross multiply
    280,439.84x = 420,715.20 × 102,948.38
  4. Step 4: Simplify right side
    280,439.84x = 43,311,946,177.80
  5. Step 5: Solve for x
    x = 43,311,946,177.80/280,439.84
  6. Step 6: Final answer
    x = 154,442.92

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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.