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Finding the Fourth Proportional to 486,188.22, 729,360.08 and 205,707.90

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Solution

The fourth proportional to 486,188.22, 729,360.08 and 205,707.90 is: 308,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,188.22 : 729,360.08 = 205,707.90 : x
  2. Step 2: Convert to fraction form
    486,188.22/729,360.08 = 205,707.90/x
  3. Step 3: Cross multiply
    486,188.22x = 729,360.08 × 205,707.90
  4. Step 4: Simplify right side
    486,188.22x = 150,035,127,268.10
  5. Step 5: Solve for x
    x = 150,035,127,268.10/486,188.22
  6. Step 6: Final answer
    x = 308,594.74

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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.