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Finding the Fourth Proportional to 511,082.99, 705,294.72 and 278,508.35

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Solution

The fourth proportional to 511,082.99, 705,294.72 and 278,508.35 is: 384,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,082.99 : 705,294.72 = 278,508.35 : x
  2. Step 2: Convert to fraction form
    511,082.99/705,294.72 = 278,508.35/x
  3. Step 3: Cross multiply
    511,082.99x = 705,294.72 × 278,508.35
  4. Step 4: Simplify right side
    511,082.99x = 196,430,468,730.91
  5. Step 5: Solve for x
    x = 196,430,468,730.91/511,082.99
  6. Step 6: Final answer
    x = 384,341.63

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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.