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Finding the Fourth Proportional to 309,470.70, 464,156.22 and 84,778.59

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Solution

The fourth proportional to 309,470.70, 464,156.22 and 84,778.59 is: 127,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,470.70 : 464,156.22 = 84,778.59 : x
  2. Step 2: Convert to fraction form
    309,470.70/464,156.22 = 84,778.59/x
  3. Step 3: Cross multiply
    309,470.70x = 464,156.22 × 84,778.59
  4. Step 4: Simplify right side
    309,470.70x = 39,350,509,871.33
  5. Step 5: Solve for x
    x = 39,350,509,871.33/309,470.70
  6. Step 6: Final answer
    x = 127,154.23

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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.