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Finding the Fourth Proportional to 498,998.39, 688,618.85 and 284,138.63

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Solution

The fourth proportional to 498,998.39, 688,618.85 and 284,138.63 is: 392,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,998.39 : 688,618.85 = 284,138.63 : x
  2. Step 2: Convert to fraction form
    498,998.39/688,618.85 = 284,138.63/x
  3. Step 3: Cross multiply
    498,998.39x = 688,618.85 × 284,138.63
  4. Step 4: Simplify right side
    498,998.39x = 195,663,219,821.47
  5. Step 5: Solve for x
    x = 195,663,219,821.47/498,998.39
  6. Step 6: Final answer
    x = 392,111.93

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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.