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Finding the Fourth Proportional to 397,442.80, 595,959.40 and 147,996.40

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Solution

The fourth proportional to 397,442.80, 595,959.40 and 147,996.40 is: 221,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,442.80 : 595,959.40 = 147,996.40 : x
  2. Step 2: Convert to fraction form
    397,442.80/595,959.40 = 147,996.40/x
  3. Step 3: Cross multiply
    397,442.80x = 595,959.40 × 147,996.40
  4. Step 4: Simplify right side
    397,442.80x = 88,199,845,746.16
  5. Step 5: Solve for x
    x = 88,199,845,746.16/397,442.80
  6. Step 6: Final answer
    x = 221,918.34

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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.