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Finding the Fourth Proportional to 421,590.59, 582,035.73 and 278,764.91

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Solution

The fourth proportional to 421,590.59, 582,035.73 and 278,764.91 is: 384,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,590.59 : 582,035.73 = 278,764.91 : x
  2. Step 2: Convert to fraction form
    421,590.59/582,035.73 = 278,764.91/x
  3. Step 3: Cross multiply
    421,590.59x = 582,035.73 × 278,764.91
  4. Step 4: Simplify right side
    421,590.59x = 162,251,137,890.23
  5. Step 5: Solve for x
    x = 162,251,137,890.23/421,590.59
  6. Step 6: Final answer
    x = 384,854.74

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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.