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Finding the Fourth Proportional to 687,788.40, 1,031,828.40 and 207,976.80

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Solution

The fourth proportional to 687,788.40, 1,031,828.40 and 207,976.80 is: 312,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,788.40 : 1,031,828.40 = 207,976.80 : x
  2. Step 2: Convert to fraction form
    687,788.40/1,031,828.40 = 207,976.80/x
  3. Step 3: Cross multiply
    687,788.40x = 1,031,828.40 × 207,976.80
  4. Step 4: Simplify right side
    687,788.40x = 214,596,368,781.12
  5. Step 5: Solve for x
    x = 214,596,368,781.12/687,788.40
  6. Step 6: Final answer
    x = 312,009.29

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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.