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Finding the Fourth Proportional to 397,494.47, 548,492.54 and 268,713.16

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Solution

The fourth proportional to 397,494.47, 548,492.54 and 268,713.16 is: 370,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,494.47 : 548,492.54 = 268,713.16 : x
  2. Step 2: Convert to fraction form
    397,494.47/548,492.54 = 268,713.16/x
  3. Step 3: Cross multiply
    397,494.47x = 548,492.54 × 268,713.16
  4. Step 4: Simplify right side
    397,494.47x = 147,387,160,945.03
  5. Step 5: Solve for x
    x = 147,387,160,945.03/397,494.47
  6. Step 6: Final answer
    x = 370,790.47

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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.