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Finding the Fourth Proportional to 284,476.89, 392,576.85 and 157,152.45

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Solution

The fourth proportional to 284,476.89, 392,576.85 and 157,152.45 is: 216,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,476.89 : 392,576.85 = 157,152.45 : x
  2. Step 2: Convert to fraction form
    284,476.89/392,576.85 = 157,152.45/x
  3. Step 3: Cross multiply
    284,476.89x = 392,576.85 × 157,152.45
  4. Step 4: Simplify right side
    284,476.89x = 61,694,413,790.78
  5. Step 5: Solve for x
    x = 61,694,413,790.78/284,476.89
  6. Step 6: Final answer
    x = 216,869.69

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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.