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Finding the Fourth Proportional to 500,856.32, 749,488.62 and 433,619.61

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Solution

The fourth proportional to 500,856.32, 749,488.62 and 433,619.61 is: 648,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,856.32 : 749,488.62 = 433,619.61 : x
  2. Step 2: Convert to fraction form
    500,856.32/749,488.62 = 433,619.61/x
  3. Step 3: Cross multiply
    500,856.32x = 749,488.62 × 433,619.61
  4. Step 4: Simplify right side
    500,856.32x = 324,992,967,540.49
  5. Step 5: Solve for x
    x = 324,992,967,540.49/500,856.32
  6. Step 6: Final answer
    x = 648,874.64

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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.