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Finding the Fourth Proportional to 284,192.82, 392,186.13 and 156,868.44

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Solution

The fourth proportional to 284,192.82, 392,186.13 and 156,868.44 is: 216,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,192.82 : 392,186.13 = 156,868.44 : x
  2. Step 2: Convert to fraction form
    284,192.82/392,186.13 = 156,868.44/x
  3. Step 3: Cross multiply
    284,192.82x = 392,186.13 × 156,868.44
  4. Step 4: Simplify right side
    284,192.82x = 61,521,626,402.74
  5. Step 5: Solve for x
    x = 61,521,626,402.74/284,192.82
  6. Step 6: Final answer
    x = 216,478.47

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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.