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Finding the Fourth Proportional to 284,076.76, 392,545.50 and 270,238.52

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Solution

The fourth proportional to 284,076.76, 392,545.50 and 270,238.52 is: 373,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,076.76 : 392,545.50 = 270,238.52 : x
  2. Step 2: Convert to fraction form
    284,076.76/392,545.50 = 270,238.52/x
  3. Step 3: Cross multiply
    284,076.76x = 392,545.50 × 270,238.52
  4. Step 4: Simplify right side
    284,076.76x = 106,080,914,952.66
  5. Step 5: Solve for x
    x = 106,080,914,952.66/284,076.76
  6. Step 6: Final answer
    x = 373,423.42

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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.