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Finding the Fourth Proportional to 284,099.78, 392,044.38 and 163,155.80

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Solution

The fourth proportional to 284,099.78, 392,044.38 and 163,155.80 is: 225,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,099.78 : 392,044.38 = 163,155.80 : x
  2. Step 2: Convert to fraction form
    284,099.78/392,044.38 = 163,155.80/x
  3. Step 3: Cross multiply
    284,099.78x = 392,044.38 × 163,155.80
  4. Step 4: Simplify right side
    284,099.78x = 63,964,314,454.40
  5. Step 5: Solve for x
    x = 63,964,314,454.40/284,099.78
  6. Step 6: Final answer
    x = 225,147.36

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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.