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Finding the Fourth Proportional to 397,294.40, 548,142.24 and 227,497.28

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Solution

The fourth proportional to 397,294.40, 548,142.24 and 227,497.28 is: 313,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,294.40 : 548,142.24 = 227,497.28 : x
  2. Step 2: Convert to fraction form
    397,294.40/548,142.24 = 227,497.28/x
  3. Step 3: Cross multiply
    397,294.40x = 548,142.24 × 227,497.28
  4. Step 4: Simplify right side
    397,294.40x = 124,700,868,653.11
  5. Step 5: Solve for x
    x = 124,700,868,653.11/397,294.40
  6. Step 6: Final answer
    x = 313,875.22

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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.