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Finding the Fourth Proportional to 284,229.93, 392,238.16 and 155,168.61

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Solution

The fourth proportional to 284,229.93, 392,238.16 and 155,168.61 is: 214,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,229.93 : 392,238.16 = 155,168.61 : x
  2. Step 2: Convert to fraction form
    284,229.93/392,238.16 = 155,168.61/x
  3. Step 3: Cross multiply
    284,229.93x = 392,238.16 × 155,168.61
  4. Step 4: Simplify right side
    284,229.93x = 60,863,047,339.12
  5. Step 5: Solve for x
    x = 60,863,047,339.12/284,229.93
  6. Step 6: Final answer
    x = 214,133.14

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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.