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Finding the Fourth Proportional to 284,160.32, 392,124.48 and 156,832.64

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Solution

The fourth proportional to 284,160.32, 392,124.48 and 156,832.64 is: 216,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,160.32 : 392,124.48 = 156,832.64 : x
  2. Step 2: Convert to fraction form
    284,160.32/392,124.48 = 156,832.64/x
  3. Step 3: Cross multiply
    284,160.32x = 392,124.48 × 156,832.64
  4. Step 4: Simplify right side
    284,160.32x = 61,497,917,407.03
  5. Step 5: Solve for x
    x = 61,497,917,407.03/284,160.32
  6. Step 6: Final answer
    x = 216,419.79

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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.