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Finding the Fourth Proportional to 442,027.85, 663,041.78 and 289,812.65

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Solution

The fourth proportional to 442,027.85, 663,041.78 and 289,812.65 is: 434,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,027.85 : 663,041.78 = 289,812.65 : x
  2. Step 2: Convert to fraction form
    442,027.85/663,041.78 = 289,812.65/x
  3. Step 3: Cross multiply
    442,027.85x = 663,041.78 × 289,812.65
  4. Step 4: Simplify right side
    442,027.85x = 192,157,893,873.45
  5. Step 5: Solve for x
    x = 192,157,893,873.45/442,027.85
  6. Step 6: Final answer
    x = 434,718.98

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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.