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Finding the Fourth Proportional to 410,565.69, 615,865.55 and 140,879.24

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Solution

The fourth proportional to 410,565.69, 615,865.55 and 140,879.24 is: 211,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,565.69 : 615,865.55 = 140,879.24 : x
  2. Step 2: Convert to fraction form
    410,565.69/615,865.55 = 140,879.24/x
  3. Step 3: Cross multiply
    410,565.69x = 615,865.55 × 140,879.24
  4. Step 4: Simplify right side
    410,565.69x = 86,762,670,626.18
  5. Step 5: Solve for x
    x = 86,762,670,626.18/410,565.69
  6. Step 6: Final answer
    x = 211,324.70

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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.