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Finding the Fourth Proportional to 664,615.80, 996,275.70 and 380,014.20

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Solution

The fourth proportional to 664,615.80, 996,275.70 and 380,014.20 is: 569,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,615.80 : 996,275.70 = 380,014.20 : x
  2. Step 2: Convert to fraction form
    664,615.80/996,275.70 = 380,014.20/x
  3. Step 3: Cross multiply
    664,615.80x = 996,275.70 × 380,014.20
  4. Step 4: Simplify right side
    664,615.80x = 378,598,913,114.94
  5. Step 5: Solve for x
    x = 378,598,913,114.94/664,615.80
  6. Step 6: Final answer
    x = 569,650.79

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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.