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Finding the Fourth Proportional to 308,489.20, 462,077.70 and 256,001.20

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Solution

The fourth proportional to 308,489.20, 462,077.70 and 256,001.20 is: 383,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,489.20 : 462,077.70 = 256,001.20 : x
  2. Step 2: Convert to fraction form
    308,489.20/462,077.70 = 256,001.20/x
  3. Step 3: Cross multiply
    308,489.20x = 462,077.70 × 256,001.20
  4. Step 4: Simplify right side
    308,489.20x = 118,292,445,693.24
  5. Step 5: Solve for x
    x = 118,292,445,693.24/308,489.20
  6. Step 6: Final answer
    x = 383,457.33

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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.