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Finding the Fourth Proportional to 847,709.46, 1,270,320 and 426,405.78

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Solution

The fourth proportional to 847,709.46, 1,270,320 and 426,405.78 is: 638,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,709.46 : 1,270,320 = 426,405.78 : x
  2. Step 2: Convert to fraction form
    847,709.46/1,270,320 = 426,405.78/x
  3. Step 3: Cross multiply
    847,709.46x = 1,270,320 × 426,405.78
  4. Step 4: Simplify right side
    847,709.46x = 541,671,790,449.60
  5. Step 5: Solve for x
    x = 541,671,790,449.60/847,709.46
  6. Step 6: Final answer
    x = 638,982.83

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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.