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Finding the Fourth Proportional to 477,325.20, 715,987.80 and 412,371.30

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Solution

The fourth proportional to 477,325.20, 715,987.80 and 412,371.30 is: 618,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,325.20 : 715,987.80 = 412,371.30 : x
  2. Step 2: Convert to fraction form
    477,325.20/715,987.80 = 412,371.30/x
  3. Step 3: Cross multiply
    477,325.20x = 715,987.80 × 412,371.30
  4. Step 4: Simplify right side
    477,325.20x = 295,252,819,870.14
  5. Step 5: Solve for x
    x = 295,252,819,870.14/477,325.20
  6. Step 6: Final answer
    x = 618,556.95

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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.