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Finding the Fourth Proportional to 284,285.78, 392,320.50 and 156,969.44

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Solution

The fourth proportional to 284,285.78, 392,320.50 and 156,969.44 is: 216,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,285.78 : 392,320.50 = 156,969.44 : x
  2. Step 2: Convert to fraction form
    284,285.78/392,320.50 = 156,969.44/x
  3. Step 3: Cross multiply
    284,285.78x = 392,320.50 × 156,969.44
  4. Step 4: Simplify right side
    284,285.78x = 61,582,329,185.52
  5. Step 5: Solve for x
    x = 61,582,329,185.52/284,285.78
  6. Step 6: Final answer
    x = 216,621.21

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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.