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Finding the Fourth Proportional to 280,175.70, 420,013.90 and 102,641.19

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Solution

The fourth proportional to 280,175.70, 420,013.90 and 102,641.19 is: 153,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,175.70 : 420,013.90 = 102,641.19 : x
  2. Step 2: Convert to fraction form
    280,175.70/420,013.90 = 102,641.19/x
  3. Step 3: Cross multiply
    280,175.70x = 420,013.90 × 102,641.19
  4. Step 4: Simplify right side
    280,175.70x = 43,110,726,512.54
  5. Step 5: Solve for x
    x = 43,110,726,512.54/280,175.70
  6. Step 6: Final answer
    x = 153,870.33

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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.