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Finding the Fourth Proportional to 511,082.79, 705,298.92 and 281,648.31

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Solution

The fourth proportional to 511,082.79, 705,298.92 and 281,648.31 is: 388,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,082.79 : 705,298.92 = 281,648.31 : x
  2. Step 2: Convert to fraction form
    511,082.79/705,298.92 = 281,648.31/x
  3. Step 3: Cross multiply
    511,082.79x = 705,298.92 × 281,648.31
  4. Step 4: Simplify right side
    511,082.79x = 198,646,248,862.83
  5. Step 5: Solve for x
    x = 198,646,248,862.83/511,082.79
  6. Step 6: Final answer
    x = 388,677.24

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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.