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Finding the Fourth Proportional to 309,870, 465,001.63 and 132,378.35

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Solution

The fourth proportional to 309,870, 465,001.63 and 132,378.35 is: 198,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,870 : 465,001.63 = 132,378.35 : x
  2. Step 2: Convert to fraction form
    309,870/465,001.63 = 132,378.35/x
  3. Step 3: Cross multiply
    309,870x = 465,001.63 × 132,378.35
  4. Step 4: Simplify right side
    309,870x = 61,556,145,870.76
  5. Step 5: Solve for x
    x = 61,556,145,870.76/309,870
  6. Step 6: Final answer
    x = 198,651.52

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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.