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Finding the Fourth Proportional to 471,729.07, 650,986.31 and 256,869.05

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Solution

The fourth proportional to 471,729.07, 650,986.31 and 256,869.05 is: 354,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,729.07 : 650,986.31 = 256,869.05 : x
  2. Step 2: Convert to fraction form
    471,729.07/650,986.31 = 256,869.05/x
  3. Step 3: Cross multiply
    471,729.07x = 650,986.31 × 256,869.05
  4. Step 4: Simplify right side
    471,729.07x = 167,218,233,728.36
  5. Step 5: Solve for x
    x = 167,218,233,728.36/471,729.07
  6. Step 6: Final answer
    x = 354,479.40

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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.