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Finding the Fourth Proportional to 206,421.70, 309,632.55 and 174,928.90

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Solution

The fourth proportional to 206,421.70, 309,632.55 and 174,928.90 is: 262,393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421.70 : 309,632.55 = 174,928.90 : x
  2. Step 2: Convert to fraction form
    206,421.70/309,632.55 = 174,928.90/x
  3. Step 3: Cross multiply
    206,421.70x = 309,632.55 × 174,928.90
  4. Step 4: Simplify right side
    206,421.70x = 54,163,681,375.70
  5. Step 5: Solve for x
    x = 54,163,681,375.70/206,421.70
  6. Step 6: Final answer
    x = 262,393.35

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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.