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Finding the Fourth Proportional to 310,471.78, 465,888.37 and 130,544.18

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Solution

The fourth proportional to 310,471.78, 465,888.37 and 130,544.18 is: 195,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,471.78 : 465,888.37 = 130,544.18 : x
  2. Step 2: Convert to fraction form
    310,471.78/465,888.37 = 130,544.18/x
  3. Step 3: Cross multiply
    310,471.78x = 465,888.37 × 130,544.18
  4. Step 4: Simplify right side
    310,471.78x = 60,819,015,233.19
  5. Step 5: Solve for x
    x = 60,819,015,233.19/310,471.78
  6. Step 6: Final answer
    x = 195,892.25

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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.