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Finding the Fourth Proportional to 498,660.30, 688,210.29 and 280,876.14

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Solution

The fourth proportional to 498,660.30, 688,210.29 and 280,876.14 is: 387,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,660.30 : 688,210.29 = 280,876.14 : x
  2. Step 2: Convert to fraction form
    498,660.30/688,210.29 = 280,876.14/x
  3. Step 3: Cross multiply
    498,660.30x = 688,210.29 × 280,876.14
  4. Step 4: Simplify right side
    498,660.30x = 193,301,849,763.48
  5. Step 5: Solve for x
    x = 193,301,849,763.48/498,660.30
  6. Step 6: Final answer
    x = 387,642.35

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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.