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Finding the Fourth Proportional to 687,708.40, 1,031,708.40 and 207,896.80

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Solution

The fourth proportional to 687,708.40, 1,031,708.40 and 207,896.80 is: 311,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,708.40 : 1,031,708.40 = 207,896.80 : x
  2. Step 2: Convert to fraction form
    687,708.40/1,031,708.40 = 207,896.80/x
  3. Step 3: Cross multiply
    687,708.40x = 1,031,708.40 × 207,896.80
  4. Step 4: Simplify right side
    687,708.40x = 214,488,874,893.12
  5. Step 5: Solve for x
    x = 214,488,874,893.12/687,708.40
  6. Step 6: Final answer
    x = 311,889.28

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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.