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Finding the Fourth Proportional to 284,102.68, 392,083.88 and 163,286.16

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Solution

The fourth proportional to 284,102.68, 392,083.88 and 163,286.16 is: 225,347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,102.68 : 392,083.88 = 163,286.16 : x
  2. Step 2: Convert to fraction form
    284,102.68/392,083.88 = 163,286.16/x
  3. Step 3: Cross multiply
    284,102.68x = 392,083.88 × 163,286.16
  4. Step 4: Simplify right side
    284,102.68x = 64,021,871,163.10
  5. Step 5: Solve for x
    x = 64,021,871,163.10/284,102.68
  6. Step 6: Final answer
    x = 225,347.65

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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.