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Finding the Fourth Proportional to 284,686.20, 427,162.14 and 126,898.20

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Solution

The fourth proportional to 284,686.20, 427,162.14 and 126,898.20 is: 190,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,686.20 : 427,162.14 = 126,898.20 : x
  2. Step 2: Convert to fraction form
    284,686.20/427,162.14 = 126,898.20/x
  3. Step 3: Cross multiply
    284,686.20x = 427,162.14 × 126,898.20
  4. Step 4: Simplify right side
    284,686.20x = 54,206,106,674.15
  5. Step 5: Solve for x
    x = 54,206,106,674.15/284,686.20
  6. Step 6: Final answer
    x = 190,406.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.