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Finding the Fourth Proportional to 258,200.80, 387,438.80 and 100,434.40

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Solution

The fourth proportional to 258,200.80, 387,438.80 and 100,434.40 is: 150,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,200.80 : 387,438.80 = 100,434.40 : x
  2. Step 2: Convert to fraction form
    258,200.80/387,438.80 = 100,434.40/x
  3. Step 3: Cross multiply
    258,200.80x = 387,438.80 × 100,434.40
  4. Step 4: Simplify right side
    258,200.80x = 38,912,183,414.72
  5. Step 5: Solve for x
    x = 38,912,183,414.72/258,200.80
  6. Step 6: Final answer
    x = 150,705.12

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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.