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Finding the Fourth Proportional to 310,905.64, 466,358.45 and 86,266.11

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Solution

The fourth proportional to 310,905.64, 466,358.45 and 86,266.11 is: 129,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,905.64 : 466,358.45 = 86,266.11 : x
  2. Step 2: Convert to fraction form
    310,905.64/466,358.45 = 86,266.11/x
  3. Step 3: Cross multiply
    310,905.64x = 466,358.45 × 86,266.11
  4. Step 4: Simplify right side
    310,905.64x = 40,230,928,769.25
  5. Step 5: Solve for x
    x = 40,230,928,769.25/310,905.64
  6. Step 6: Final answer
    x = 129,399.16

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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.