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Finding the Fourth Proportional to 291,968.88, 402,915.96 and 157,832.88

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Solution

The fourth proportional to 291,968.88, 402,915.96 and 157,832.88 is: 217,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,968.88 : 402,915.96 = 157,832.88 : x
  2. Step 2: Convert to fraction form
    291,968.88/402,915.96 = 157,832.88/x
  3. Step 3: Cross multiply
    291,968.88x = 402,915.96 × 157,832.88
  4. Step 4: Simplify right side
    291,968.88x = 63,593,386,364.76
  5. Step 5: Solve for x
    x = 63,593,386,364.76/291,968.88
  6. Step 6: Final answer
    x = 217,808.78

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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.