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Finding the Fourth Proportional to 311,030.60, 466,545.90 and 100,819.40

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Solution

The fourth proportional to 311,030.60, 466,545.90 and 100,819.40 is: 151,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,030.60 : 466,545.90 = 100,819.40 : x
  2. Step 2: Convert to fraction form
    311,030.60/466,545.90 = 100,819.40/x
  3. Step 3: Cross multiply
    311,030.60x = 466,545.90 × 100,819.40
  4. Step 4: Simplify right side
    311,030.60x = 47,036,877,710.46
  5. Step 5: Solve for x
    x = 47,036,877,710.46/311,030.60
  6. Step 6: Final answer
    x = 151,229.10

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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.