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Finding the Fourth Proportional to 280,462.25, 420,693.38 and 83,470.25

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Solution

The fourth proportional to 280,462.25, 420,693.38 and 83,470.25 is: 125,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,462.25 : 420,693.38 = 83,470.25 : x
  2. Step 2: Convert to fraction form
    280,462.25/420,693.38 = 83,470.25/x
  3. Step 3: Cross multiply
    280,462.25x = 420,693.38 × 83,470.25
  4. Step 4: Simplify right side
    280,462.25x = 35,115,381,184.59
  5. Step 5: Solve for x
    x = 35,115,381,184.59/280,462.25
  6. Step 6: Final answer
    x = 125,205.38

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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.