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Finding the Fourth Proportional to 510,680.80, 704,758.62 and 281,248.12

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Solution

The fourth proportional to 510,680.80, 704,758.62 and 281,248.12 is: 388,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,680.80 : 704,758.62 = 281,248.12 : x
  2. Step 2: Convert to fraction form
    510,680.80/704,758.62 = 281,248.12/x
  3. Step 3: Cross multiply
    510,680.80x = 704,758.62 × 281,248.12
  4. Step 4: Simplify right side
    510,680.80x = 198,212,036,928.79
  5. Step 5: Solve for x
    x = 198,212,036,928.79/510,680.80
  6. Step 6: Final answer
    x = 388,132.93

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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.