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Finding the Fourth Proportional to 381,921.64, 572,339.32 and 281,290.48

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Solution

The fourth proportional to 381,921.64, 572,339.32 and 281,290.48 is: 421,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,921.64 : 572,339.32 = 281,290.48 : x
  2. Step 2: Convert to fraction form
    381,921.64/572,339.32 = 281,290.48/x
  3. Step 3: Cross multiply
    381,921.64x = 572,339.32 × 281,290.48
  4. Step 4: Simplify right side
    381,921.64x = 160,993,602,045.67
  5. Step 5: Solve for x
    x = 160,993,602,045.67/381,921.64
  6. Step 6: Final answer
    x = 421,535.69

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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.