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Finding the Fourth Proportional to 284,439.84, 392,523 and 155,376.78

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Solution

The fourth proportional to 284,439.84, 392,523 and 155,376.78 is: 214,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,439.84 : 392,523 = 155,376.78 : x
  2. Step 2: Convert to fraction form
    284,439.84/392,523 = 155,376.78/x
  3. Step 3: Cross multiply
    284,439.84x = 392,523 × 155,376.78
  4. Step 4: Simplify right side
    284,439.84x = 60,988,959,815.94
  5. Step 5: Solve for x
    x = 60,988,959,815.94/284,439.84
  6. Step 6: Final answer
    x = 214,417.78

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1.5x scale

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.