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Finding the Fourth Proportional to 310,869.09, 466,303.59 and 86,229.54

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Solution

The fourth proportional to 310,869.09, 466,303.59 and 86,229.54 is: 129,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869.09 : 466,303.59 = 86,229.54 : x
  2. Step 2: Convert to fraction form
    310,869.09/466,303.59 = 86,229.54/x
  3. Step 3: Cross multiply
    310,869.09x = 466,303.59 × 86,229.54
  4. Step 4: Simplify right side
    310,869.09x = 40,209,144,066.05
  5. Step 5: Solve for x
    x = 40,209,144,066.05/310,869.09
  6. Step 6: Final answer
    x = 129,344.30

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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.