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Finding the Fourth Proportional to 513,642.06, 769,548.87 and 437,994.74

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Solution

The fourth proportional to 513,642.06, 769,548.87 and 437,994.74 is: 656,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,642.06 : 769,548.87 = 437,994.74 : x
  2. Step 2: Convert to fraction form
    513,642.06/769,548.87 = 437,994.74/x
  3. Step 3: Cross multiply
    513,642.06x = 769,548.87 × 437,994.74
  4. Step 4: Simplify right side
    513,642.06x = 337,058,359,156.82
  5. Step 5: Solve for x
    x = 337,058,359,156.82/513,642.06
  6. Step 6: Final answer
    x = 656,212.54

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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.