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Finding the Fourth Proportional to 431,402.40, 646,556.85 and 164,807.10

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Solution

The fourth proportional to 431,402.40, 646,556.85 and 164,807.10 is: 247,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,402.40 : 646,556.85 = 164,807.10 : x
  2. Step 2: Convert to fraction form
    431,402.40/646,556.85 = 164,807.10/x
  3. Step 3: Cross multiply
    431,402.40x = 646,556.85 × 164,807.10
  4. Step 4: Simplify right side
    431,402.40x = 106,557,159,433.64
  5. Step 5: Solve for x
    x = 106,557,159,433.64/431,402.40
  6. Step 6: Final answer
    x = 247,001.78

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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.