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Finding the Fourth Proportional to 465,780.70, 698,671.05 and 415,042.30

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Solution

The fourth proportional to 465,780.70, 698,671.05 and 415,042.30 is: 622,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,780.70 : 698,671.05 = 415,042.30 : x
  2. Step 2: Convert to fraction form
    465,780.70/698,671.05 = 415,042.30/x
  3. Step 3: Cross multiply
    465,780.70x = 698,671.05 × 415,042.30
  4. Step 4: Simplify right side
    465,780.70x = 289,978,039,535.42
  5. Step 5: Solve for x
    x = 289,978,039,535.42/465,780.70
  6. Step 6: Final answer
    x = 622,563.45

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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.