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Finding the Fourth Proportional to 723,204.90, 998,031.78 and 417,344.76

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Solution

The fourth proportional to 723,204.90, 998,031.78 and 417,344.76 is: 575,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,204.90 : 998,031.78 = 417,344.76 : x
  2. Step 2: Convert to fraction form
    723,204.90/998,031.78 = 417,344.76/x
  3. Step 3: Cross multiply
    723,204.90x = 998,031.78 × 417,344.76
  4. Step 4: Simplify right side
    723,204.90x = 416,523,333,696.47
  5. Step 5: Solve for x
    x = 416,523,333,696.47/723,204.90
  6. Step 6: Final answer
    x = 575,940.97

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Double scale
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Similar ratio
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1.5x scale

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.