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Finding the Fourth Proportional to 295,570.88, 407,885.28 and 161,432

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Solution

The fourth proportional to 295,570.88, 407,885.28 and 161,432 is: 222,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,570.88 : 407,885.28 = 161,432 : x
  2. Step 2: Convert to fraction form
    295,570.88/407,885.28 = 161,432/x
  3. Step 3: Cross multiply
    295,570.88x = 407,885.28 × 161,432
  4. Step 4: Simplify right side
    295,570.88x = 65,845,736,520.96
  5. Step 5: Solve for x
    x = 65,845,736,520.96/295,570.88
  6. Step 6: Final answer
    x = 222,774.78

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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.