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Finding the Fourth Proportional to 206,438.40, 284,889.60 and 125,870.40

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Solution

The fourth proportional to 206,438.40, 284,889.60 and 125,870.40 is: 173,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,438.40 : 284,889.60 = 125,870.40 : x
  2. Step 2: Convert to fraction form
    206,438.40/284,889.60 = 125,870.40/x
  3. Step 3: Cross multiply
    206,438.40x = 284,889.60 × 125,870.40
  4. Step 4: Simplify right side
    206,438.40x = 35,859,167,907.84
  5. Step 5: Solve for x
    x = 35,859,167,907.84/206,438.40
  6. Step 6: Final answer
    x = 173,703.96

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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.