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Finding the Fourth Proportional to 698,540.48, 963,908.16 and 392,546.24

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Solution

The fourth proportional to 698,540.48, 963,908.16 and 392,546.24 is: 541,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,540.48 : 963,908.16 = 392,546.24 : x
  2. Step 2: Convert to fraction form
    698,540.48/963,908.16 = 392,546.24/x
  3. Step 3: Cross multiply
    698,540.48x = 963,908.16 × 392,546.24
  4. Step 4: Simplify right side
    698,540.48x = 378,378,523,913.32
  5. Step 5: Solve for x
    x = 378,378,523,913.32/698,540.48
  6. Step 6: Final answer
    x = 541,670.15

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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.