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Finding the Fourth Proportional to 566,352.24, 781,571.61 and 311,709.30

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Solution

The fourth proportional to 566,352.24, 781,571.61 and 311,709.30 is: 430,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,352.24 : 781,571.61 = 311,709.30 : x
  2. Step 2: Convert to fraction form
    566,352.24/781,571.61 = 311,709.30/x
  3. Step 3: Cross multiply
    566,352.24x = 781,571.61 × 311,709.30
  4. Step 4: Simplify right side
    566,352.24x = 243,623,139,452.97
  5. Step 5: Solve for x
    x = 243,623,139,452.97/566,352.24
  6. Step 6: Final answer
    x = 430,161.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.