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Finding the Fourth Proportional to 319,782.81, 479,590.65 and 95,082.75

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Solution

The fourth proportional to 319,782.81, 479,590.65 and 95,082.75 is: 142,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,782.81 : 479,590.65 = 95,082.75 : x
  2. Step 2: Convert to fraction form
    319,782.81/479,590.65 = 95,082.75/x
  3. Step 3: Cross multiply
    319,782.81x = 479,590.65 × 95,082.75
  4. Step 4: Simplify right side
    319,782.81x = 45,600,797,876.29
  5. Step 5: Solve for x
    x = 45,600,797,876.29/319,782.81
  6. Step 6: Final answer
    x = 142,599.28

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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.