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Finding the Fourth Proportional to 498,767.07, 748,255.73 and 161,781.50

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Solution

The fourth proportional to 498,767.07, 748,255.73 and 161,781.50 is: 242,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,767.07 : 748,255.73 = 161,781.50 : x
  2. Step 2: Convert to fraction form
    498,767.07/748,255.73 = 161,781.50/x
  3. Step 3: Cross multiply
    498,767.07x = 748,255.73 × 161,781.50
  4. Step 4: Simplify right side
    498,767.07x = 121,053,934,383.00
  5. Step 5: Solve for x
    x = 121,053,934,383.00/498,767.07
  6. Step 6: Final answer
    x = 242,706.35

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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.