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Finding the Fourth Proportional to 397,892.47, 596,844.90 and 221,520.51

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Solution

The fourth proportional to 397,892.47, 596,844.90 and 221,520.51 is: 332,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,892.47 : 596,844.90 = 221,520.51 : x
  2. Step 2: Convert to fraction form
    397,892.47/596,844.90 = 221,520.51/x
  3. Step 3: Cross multiply
    397,892.47x = 596,844.90 × 221,520.51
  4. Step 4: Simplify right side
    397,892.47x = 132,213,386,638.90
  5. Step 5: Solve for x
    x = 132,213,386,638.90/397,892.47
  6. Step 6: Final answer
    x = 332,284.21

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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.