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Finding the Fourth Proportional to 308,234.60, 462,006.30 and 130,711.40

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Solution

The fourth proportional to 308,234.60, 462,006.30 and 130,711.40 is: 195,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,234.60 : 462,006.30 = 130,711.40 : x
  2. Step 2: Convert to fraction form
    308,234.60/462,006.30 = 130,711.40/x
  3. Step 3: Cross multiply
    308,234.60x = 462,006.30 × 130,711.40
  4. Step 4: Simplify right side
    308,234.60x = 60,389,490,281.82
  5. Step 5: Solve for x
    x = 60,389,490,281.82/308,234.60
  6. Step 6: Final answer
    x = 195,920.54

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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.