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Finding the Fourth Proportional to 284,291.88, 392,325.72 and 156,967.17

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Solution

The fourth proportional to 284,291.88, 392,325.72 and 156,967.17 is: 216,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,291.88 : 392,325.72 = 156,967.17 : x
  2. Step 2: Convert to fraction form
    284,291.88/392,325.72 = 156,967.17/x
  3. Step 3: Cross multiply
    284,291.88x = 392,325.72 × 156,967.17
  4. Step 4: Simplify right side
    284,291.88x = 61,582,257,986.61
  5. Step 5: Solve for x
    x = 61,582,257,986.61/284,291.88
  6. Step 6: Final answer
    x = 216,616.31

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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.