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Finding the Fourth Proportional to 310,287.16, 465,193.94 and 160,431.78

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Solution

The fourth proportional to 310,287.16, 465,193.94 and 160,431.78 is: 240,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,287.16 : 465,193.94 = 160,431.78 : x
  2. Step 2: Convert to fraction form
    310,287.16/465,193.94 = 160,431.78/x
  3. Step 3: Cross multiply
    310,287.16x = 465,193.94 × 160,431.78
  4. Step 4: Simplify right side
    310,287.16x = 74,631,891,839.41
  5. Step 5: Solve for x
    x = 74,631,891,839.41/310,287.16
  6. Step 6: Final answer
    x = 240,525.24

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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.