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Finding the Fourth Proportional to 480,042, 662,457.96 and 268,074

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Solution

The fourth proportional to 480,042, 662,457.96 and 268,074 is: 369,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,042 : 662,457.96 = 268,074 : x
  2. Step 2: Convert to fraction form
    480,042/662,457.96 = 268,074/x
  3. Step 3: Cross multiply
    480,042x = 662,457.96 × 268,074
  4. Step 4: Simplify right side
    480,042x = 177,587,755,169.04
  5. Step 5: Solve for x
    x = 177,587,755,169.04/480,042
  6. Step 6: Final answer
    x = 369,942.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.