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Finding the Fourth Proportional to 284,101.12, 392,126.67 and 163,312.48

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Solution

The fourth proportional to 284,101.12, 392,126.67 and 163,312.48 is: 225,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,101.12 : 392,126.67 = 163,312.48 : x
  2. Step 2: Convert to fraction form
    284,101.12/392,126.67 = 163,312.48/x
  3. Step 3: Cross multiply
    284,101.12x = 392,126.67 × 163,312.48
  4. Step 4: Simplify right side
    284,101.12x = 64,039,178,951.84
  5. Step 5: Solve for x
    x = 64,039,178,951.84/284,101.12
  6. Step 6: Final answer
    x = 225,409.81

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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.