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Finding the Fourth Proportional to 284,108.56, 392,105.96 and 170,992.40

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Solution

The fourth proportional to 284,108.56, 392,105.96 and 170,992.40 is: 235,991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,108.56 : 392,105.96 = 170,992.40 : x
  2. Step 2: Convert to fraction form
    284,108.56/392,105.96 = 170,992.40/x
  3. Step 3: Cross multiply
    284,108.56x = 392,105.96 × 170,992.40
  4. Step 4: Simplify right side
    284,108.56x = 67,047,139,154.70
  5. Step 5: Solve for x
    x = 67,047,139,154.70/284,108.56
  6. Step 6: Final answer
    x = 235,991.27

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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.