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Finding the Fourth Proportional to 683,081.28, 942,706.08 and 396,691.20

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Solution

The fourth proportional to 683,081.28, 942,706.08 and 396,691.20 is: 547,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,081.28 : 942,706.08 = 396,691.20 : x
  2. Step 2: Convert to fraction form
    683,081.28/942,706.08 = 396,691.20/x
  3. Step 3: Cross multiply
    683,081.28x = 942,706.08 × 396,691.20
  4. Step 4: Simplify right side
    683,081.28x = 373,963,206,122.50
  5. Step 5: Solve for x
    x = 373,963,206,122.50/683,081.28
  6. Step 6: Final answer
    x = 547,465.17

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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.