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Finding the Fourth Proportional to 687,704.40, 1,031,702.40 and 207,892.80

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Solution

The fourth proportional to 687,704.40, 1,031,702.40 and 207,892.80 is: 311,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,704.40 : 1,031,702.40 = 207,892.80 : x
  2. Step 2: Convert to fraction form
    687,704.40/1,031,702.40 = 207,892.80/x
  3. Step 3: Cross multiply
    687,704.40x = 1,031,702.40 × 207,892.80
  4. Step 4: Simplify right side
    687,704.40x = 214,483,500,702.72
  5. Step 5: Solve for x
    x = 214,483,500,702.72/687,704.40
  6. Step 6: Final answer
    x = 311,883.28

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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.