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Finding the Fourth Proportional to 284,099.40, 392,076.18 and 163,279.80

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Solution

The fourth proportional to 284,099.40, 392,076.18 and 163,279.80 is: 225,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,099.40 : 392,076.18 = 163,279.80 : x
  2. Step 2: Convert to fraction form
    284,099.40/392,076.18 = 163,279.80/x
  3. Step 3: Cross multiply
    284,099.40x = 392,076.18 × 163,279.80
  4. Step 4: Simplify right side
    284,099.40x = 64,018,120,255.16
  5. Step 5: Solve for x
    x = 64,018,120,255.16/284,099.40
  6. Step 6: Final answer
    x = 225,337.05

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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.