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Finding the Fourth Proportional to 509,177.71, 763,766.45 and 130,099.15

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Solution

The fourth proportional to 509,177.71, 763,766.45 and 130,099.15 is: 195,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,177.71 : 763,766.45 = 130,099.15 : x
  2. Step 2: Convert to fraction form
    509,177.71/763,766.45 = 130,099.15/x
  3. Step 3: Cross multiply
    509,177.71x = 763,766.45 × 130,099.15
  4. Step 4: Simplify right side
    509,177.71x = 99,365,367,852.93
  5. Step 5: Solve for x
    x = 99,365,367,852.93/509,177.71
  6. Step 6: Final answer
    x = 195,148.70

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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.