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Finding the Fourth Proportional to 486,546.30, 729,430.65 and 205,832.70

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Solution

The fourth proportional to 486,546.30, 729,430.65 and 205,832.70 is: 308,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,546.30 : 729,430.65 = 205,832.70 : x
  2. Step 2: Convert to fraction form
    486,546.30/729,430.65 = 205,832.70/x
  3. Step 3: Cross multiply
    486,546.30x = 729,430.65 × 205,832.70
  4. Step 4: Simplify right side
    486,546.30x = 150,140,680,152.26
  5. Step 5: Solve for x
    x = 150,140,680,152.26/486,546.30
  6. Step 6: Final answer
    x = 308,584.57

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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.