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Finding the Fourth Proportional to 282,648.30, 423,972.45 and 72,275.10

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Solution

The fourth proportional to 282,648.30, 423,972.45 and 72,275.10 is: 108,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,648.30 : 423,972.45 = 72,275.10 : x
  2. Step 2: Convert to fraction form
    282,648.30/423,972.45 = 72,275.10/x
  3. Step 3: Cross multiply
    282,648.30x = 423,972.45 × 72,275.10
  4. Step 4: Simplify right side
    282,648.30x = 30,642,651,221.00
  5. Step 5: Solve for x
    x = 30,642,651,221.00/282,648.30
  6. Step 6: Final answer
    x = 108,412.65

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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.