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Finding the Fourth Proportional to 288,740.59, 398,462.90 and 161,416.17

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Solution

The fourth proportional to 288,740.59, 398,462.90 and 161,416.17 is: 222,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,740.59 : 398,462.90 = 161,416.17 : x
  2. Step 2: Convert to fraction form
    288,740.59/398,462.90 = 161,416.17/x
  3. Step 3: Cross multiply
    288,740.59x = 398,462.90 × 161,416.17
  4. Step 4: Simplify right side
    288,740.59x = 64,318,354,398.01
  5. Step 5: Solve for x
    x = 64,318,354,398.01/288,740.59
  6. Step 6: Final answer
    x = 222,754.81

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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.