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Finding the Fourth Proportional to 431,870.64, 647,805.96 and 221,374.32

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Solution

The fourth proportional to 431,870.64, 647,805.96 and 221,374.32 is: 332,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,870.64 : 647,805.96 = 221,374.32 : x
  2. Step 2: Convert to fraction form
    431,870.64/647,805.96 = 221,374.32/x
  3. Step 3: Cross multiply
    431,870.64x = 647,805.96 × 221,374.32
  4. Step 4: Simplify right side
    431,870.64x = 143,407,603,886.95
  5. Step 5: Solve for x
    x = 143,407,603,886.95/431,870.64
  6. Step 6: Final answer
    x = 332,061.48

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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.