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Finding the Fourth Proportional to 310,970.94, 466,456.14 and 86,331.22

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Solution

The fourth proportional to 310,970.94, 466,456.14 and 86,331.22 is: 129,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,970.94 : 466,456.14 = 86,331.22 : x
  2. Step 2: Convert to fraction form
    310,970.94/466,456.14 = 86,331.22/x
  3. Step 3: Cross multiply
    310,970.94x = 466,456.14 × 86,331.22
  4. Step 4: Simplify right side
    310,970.94x = 40,269,727,642.69
  5. Step 5: Solve for x
    x = 40,269,727,642.69/310,970.94
  6. Step 6: Final answer
    x = 129,496.76

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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.