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Finding the Fourth Proportional to 341,762, 471,605 and 198,498.64

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Solution

The fourth proportional to 341,762, 471,605 and 198,498.64 is: 273,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,762 : 471,605 = 198,498.64 : x
  2. Step 2: Convert to fraction form
    341,762/471,605 = 198,498.64/x
  3. Step 3: Cross multiply
    341,762x = 471,605 × 198,498.64
  4. Step 4: Simplify right side
    341,762x = 93,612,951,117.20
  5. Step 5: Solve for x
    x = 93,612,951,117.20/341,762
  6. Step 6: Final answer
    x = 273,912.70

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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.