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Finding the Fourth Proportional to 580,474.40, 869,399.40 and 344,278.40

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Solution

The fourth proportional to 580,474.40, 869,399.40 and 344,278.40 is: 515,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,474.40 : 869,399.40 = 344,278.40 : x
  2. Step 2: Convert to fraction form
    580,474.40/869,399.40 = 344,278.40/x
  3. Step 3: Cross multiply
    580,474.40x = 869,399.40 × 344,278.40
  4. Step 4: Simplify right side
    580,474.40x = 299,315,434,392.96
  5. Step 5: Solve for x
    x = 299,315,434,392.96/580,474.40
  6. Step 6: Final answer
    x = 515,639.34

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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.