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Finding the Fourth Proportional to 308,354.58, 462,562.65 and 83,718.63

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Solution

The fourth proportional to 308,354.58, 462,562.65 and 83,718.63 is: 125,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,354.58 : 462,562.65 = 83,718.63 : x
  2. Step 2: Convert to fraction form
    308,354.58/462,562.65 = 83,718.63/x
  3. Step 3: Cross multiply
    308,354.58x = 462,562.65 × 83,718.63
  4. Step 4: Simplify right side
    308,354.58x = 38,725,111,347.17
  5. Step 5: Solve for x
    x = 38,725,111,347.17/308,354.58
  6. Step 6: Final answer
    x = 125,586.30

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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.