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Finding the Fourth Proportional to 284,162.56, 392,116.41 and 156,829.95

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Solution

The fourth proportional to 284,162.56, 392,116.41 and 156,829.95 is: 216,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,162.56 : 392,116.41 = 156,829.95 : x
  2. Step 2: Convert to fraction form
    284,162.56/392,116.41 = 156,829.95/x
  3. Step 3: Cross multiply
    284,162.56x = 392,116.41 × 156,829.95
  4. Step 4: Simplify right side
    284,162.56x = 61,495,596,974.48
  5. Step 5: Solve for x
    x = 61,495,596,974.48/284,162.56
  6. Step 6: Final answer
    x = 216,409.92

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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.