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Finding the Fourth Proportional to 577,977.40, 866,967.36 and 311,863.24

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Solution

The fourth proportional to 577,977.40, 866,967.36 and 311,863.24 is: 467,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,977.40 : 866,967.36 = 311,863.24 : x
  2. Step 2: Convert to fraction form
    577,977.40/866,967.36 = 311,863.24/x
  3. Step 3: Cross multiply
    577,977.40x = 866,967.36 × 311,863.24
  4. Step 4: Simplify right side
    577,977.40x = 270,375,249,863.85
  5. Step 5: Solve for x
    x = 270,375,249,863.85/577,977.40
  6. Step 6: Final answer
    x = 467,795.54

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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.