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Finding the Fourth Proportional to 284,114.70, 392,070.51 and 156,781.08

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Solution

The fourth proportional to 284,114.70, 392,070.51 and 156,781.08 is: 216,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,114.70 : 392,070.51 = 156,781.08 : x
  2. Step 2: Convert to fraction form
    284,114.70/392,070.51 = 156,781.08/x
  3. Step 3: Cross multiply
    284,114.70x = 392,070.51 × 156,781.08
  4. Step 4: Simplify right side
    284,114.70x = 61,469,237,993.95
  5. Step 5: Solve for x
    x = 61,469,237,993.95/284,114.70
  6. Step 6: Final answer
    x = 216,353.60

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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.