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Finding the Fourth Proportional to 284,485.90, 392,601.78 and 163,627

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Solution

The fourth proportional to 284,485.90, 392,601.78 and 163,627 is: 225,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,485.90 : 392,601.78 = 163,627 : x
  2. Step 2: Convert to fraction form
    284,485.90/392,601.78 = 163,627/x
  3. Step 3: Cross multiply
    284,485.90x = 392,601.78 × 163,627
  4. Step 4: Simplify right side
    284,485.90x = 64,240,251,456.06
  5. Step 5: Solve for x
    x = 64,240,251,456.06/284,485.90
  6. Step 6: Final answer
    x = 225,811.72

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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.