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Finding the Fourth Proportional to 284,302.62, 392,327.33 and 156,975.48

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Solution

The fourth proportional to 284,302.62, 392,327.33 and 156,975.48 is: 216,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,302.62 : 392,327.33 = 156,975.48 : x
  2. Step 2: Convert to fraction form
    284,302.62/392,327.33 = 156,975.48/x
  3. Step 3: Cross multiply
    284,302.62x = 392,327.33 × 156,975.48
  4. Step 4: Simplify right side
    284,302.62x = 61,585,770,158.99
  5. Step 5: Solve for x
    x = 61,585,770,158.99/284,302.62
  6. Step 6: Final answer
    x = 216,620.48

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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.