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Finding the Fourth Proportional to 319,097.20, 478,127.40 and 200,556.40

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Solution

The fourth proportional to 319,097.20, 478,127.40 and 200,556.40 is: 300,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,097.20 : 478,127.40 = 200,556.40 : x
  2. Step 2: Convert to fraction form
    319,097.20/478,127.40 = 200,556.40/x
  3. Step 3: Cross multiply
    319,097.20x = 478,127.40 × 200,556.40
  4. Step 4: Simplify right side
    319,097.20x = 95,891,510,085.36
  5. Step 5: Solve for x
    x = 95,891,510,085.36/319,097.20
  6. Step 6: Final answer
    x = 300,508.78

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1.5x scale

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.