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Finding the Fourth Proportional to 284,440.84, 392,524.38 and 155,377.78

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Solution

The fourth proportional to 284,440.84, 392,524.38 and 155,377.78 is: 214,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,440.84 : 392,524.38 = 155,377.78 : x
  2. Step 2: Convert to fraction form
    284,440.84/392,524.38 = 155,377.78/x
  3. Step 3: Cross multiply
    284,440.84x = 392,524.38 × 155,377.78
  4. Step 4: Simplify right side
    284,440.84x = 60,989,566,760.28
  5. Step 5: Solve for x
    x = 60,989,566,760.28/284,440.84
  6. Step 6: Final answer
    x = 214,419.16

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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.