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Finding the Fourth Proportional to 308,293.20, 462,461.40 and 130,780.08

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Solution

The fourth proportional to 308,293.20, 462,461.40 and 130,780.08 is: 196,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,293.20 : 462,461.40 = 130,780.08 : x
  2. Step 2: Convert to fraction form
    308,293.20/462,461.40 = 130,780.08/x
  3. Step 3: Cross multiply
    308,293.20x = 462,461.40 × 130,780.08
  4. Step 4: Simplify right side
    308,293.20x = 60,480,738,888.91
  5. Step 5: Solve for x
    x = 60,480,738,888.91/308,293.20
  6. Step 6: Final answer
    x = 196,179.28

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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.