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Finding the Fourth Proportional to 397,065.66, 548,078.31 and 254,210.46

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Solution

The fourth proportional to 397,065.66, 548,078.31 and 254,210.46 is: 350,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,065.66 : 548,078.31 = 254,210.46 : x
  2. Step 2: Convert to fraction form
    397,065.66/548,078.31 = 254,210.46/x
  3. Step 3: Cross multiply
    397,065.66x = 548,078.31 × 254,210.46
  4. Step 4: Simplify right side
    397,065.66x = 139,327,239,301.12
  5. Step 5: Solve for x
    x = 139,327,239,301.12/397,065.66
  6. Step 6: Final answer
    x = 350,892.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.