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Finding the Fourth Proportional to 284,137.26, 392,097.96 and 156,811.20

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Solution

The fourth proportional to 284,137.26, 392,097.96 and 156,811.20 is: 216,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,137.26 : 392,097.96 = 156,811.20 : x
  2. Step 2: Convert to fraction form
    284,137.26/392,097.96 = 156,811.20/x
  3. Step 3: Cross multiply
    284,137.26x = 392,097.96 × 156,811.20
  4. Step 4: Simplify right side
    284,137.26x = 61,485,351,625.15
  5. Step 5: Solve for x
    x = 61,485,351,625.15/284,137.26
  6. Step 6: Final answer
    x = 216,393.13

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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.