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Finding the Fourth Proportional to 471,713.63, 650,878.33 and 278,182.05

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Solution

The fourth proportional to 471,713.63, 650,878.33 and 278,182.05 is: 383,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,713.63 : 650,878.33 = 278,182.05 : x
  2. Step 2: Convert to fraction form
    471,713.63/650,878.33 = 278,182.05/x
  3. Step 3: Cross multiply
    471,713.63x = 650,878.33 × 278,182.05
  4. Step 4: Simplify right side
    471,713.63x = 181,062,669,885.32
  5. Step 5: Solve for x
    x = 181,062,669,885.32/471,713.63
  6. Step 6: Final answer
    x = 383,840.23

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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.