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Finding the Fourth Proportional to 497,820.71, 746,681.86 and 198,220.85

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Solution

The fourth proportional to 497,820.71, 746,681.86 and 198,220.85 is: 297,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,820.71 : 746,681.86 = 198,220.85 : x
  2. Step 2: Convert to fraction form
    497,820.71/746,681.86 = 198,220.85/x
  3. Step 3: Cross multiply
    497,820.71x = 746,681.86 × 198,220.85
  4. Step 4: Simplify right side
    497,820.71x = 148,007,912,968.78
  5. Step 5: Solve for x
    x = 148,007,912,968.78/497,820.71
  6. Step 6: Final answer
    x = 297,311.68

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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.