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Finding the Fourth Proportional to 410,217.23, 615,601.06 and 143,978.54

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Solution

The fourth proportional to 410,217.23, 615,601.06 and 143,978.54 is: 216,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,217.23 : 615,601.06 = 143,978.54 : x
  2. Step 2: Convert to fraction form
    410,217.23/615,601.06 = 143,978.54/x
  3. Step 3: Cross multiply
    410,217.23x = 615,601.06 × 143,978.54
  4. Step 4: Simplify right side
    410,217.23x = 88,633,338,403.30
  5. Step 5: Solve for x
    x = 88,633,338,403.30/410,217.23
  6. Step 6: Final answer
    x = 216,064.40

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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.