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Finding the Fourth Proportional to 342,165.47, 471,998.95 and 198,909.68

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Solution

The fourth proportional to 342,165.47, 471,998.95 and 198,909.68 is: 274,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,165.47 : 471,998.95 = 198,909.68 : x
  2. Step 2: Convert to fraction form
    342,165.47/471,998.95 = 198,909.68/x
  3. Step 3: Cross multiply
    342,165.47x = 471,998.95 × 198,909.68
  4. Step 4: Simplify right side
    342,165.47x = 93,885,157,247.57
  5. Step 5: Solve for x
    x = 93,885,157,247.57/342,165.47
  6. Step 6: Final answer
    x = 274,385.25

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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.