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Finding the Fourth Proportional to 497,698.60, 746,645.10 and 198,128.20

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Solution

The fourth proportional to 497,698.60, 746,645.10 and 198,128.20 is: 297,230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,698.60 : 746,645.10 = 198,128.20 : x
  2. Step 2: Convert to fraction form
    497,698.60/746,645.10 = 198,128.20/x
  3. Step 3: Cross multiply
    497,698.60x = 746,645.10 × 198,128.20
  4. Step 4: Simplify right side
    497,698.60x = 147,931,449,701.82
  5. Step 5: Solve for x
    x = 147,931,449,701.82/497,698.60
  6. Step 6: Final answer
    x = 297,230.99

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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.