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Finding the Fourth Proportional to 308,047.30, 462,139.80 and 108,374.20

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Solution

The fourth proportional to 308,047.30, 462,139.80 and 108,374.20 is: 162,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,047.30 : 462,139.80 = 108,374.20 : x
  2. Step 2: Convert to fraction form
    308,047.30/462,139.80 = 108,374.20/x
  3. Step 3: Cross multiply
    308,047.30x = 462,139.80 × 108,374.20
  4. Step 4: Simplify right side
    308,047.30x = 50,084,031,113.16
  5. Step 5: Solve for x
    x = 50,084,031,113.16/308,047.30
  6. Step 6: Final answer
    x = 162,585.52

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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.