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Finding the Fourth Proportional to 310,982.69, 466,476.63 and 86,360.61

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Solution

The fourth proportional to 310,982.69, 466,476.63 and 86,360.61 is: 129,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,982.69 : 466,476.63 = 86,360.61 : x
  2. Step 2: Convert to fraction form
    310,982.69/466,476.63 = 86,360.61/x
  3. Step 3: Cross multiply
    310,982.69x = 466,476.63 × 86,360.61
  4. Step 4: Simplify right side
    310,982.69x = 40,285,206,317.54
  5. Step 5: Solve for x
    x = 40,285,206,317.54/310,982.69
  6. Step 6: Final answer
    x = 129,541.64

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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.