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Finding the Fourth Proportional to 284,679.34, 392,896.56 and 163,818.16

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Solution

The fourth proportional to 284,679.34, 392,896.56 and 163,818.16 is: 226,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,679.34 : 392,896.56 = 163,818.16 : x
  2. Step 2: Convert to fraction form
    284,679.34/392,896.56 = 163,818.16/x
  3. Step 3: Cross multiply
    284,679.34x = 392,896.56 × 163,818.16
  4. Step 4: Simplify right side
    284,679.34x = 64,363,591,529.53
  5. Step 5: Solve for x
    x = 64,363,591,529.53/284,679.34
  6. Step 6: Final answer
    x = 226,091.54

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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.