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Finding the Fourth Proportional to 687,772.40, 1,031,804.40 and 207,960.80

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Solution

The fourth proportional to 687,772.40, 1,031,804.40 and 207,960.80 is: 311,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,772.40 : 1,031,804.40 = 207,960.80 : x
  2. Step 2: Convert to fraction form
    687,772.40/1,031,804.40 = 207,960.80/x
  3. Step 3: Cross multiply
    687,772.40x = 1,031,804.40 × 207,960.80
  4. Step 4: Simplify right side
    687,772.40x = 214,574,868,467.52
  5. Step 5: Solve for x
    x = 214,574,868,467.52/687,772.40
  6. Step 6: Final answer
    x = 311,985.29

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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.