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Finding the Fourth Proportional to 759,016.62, 1,047,401.82 and 419,463

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Solution

The fourth proportional to 759,016.62, 1,047,401.82 and 419,463 is: 578,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,016.62 : 1,047,401.82 = 419,463 : x
  2. Step 2: Convert to fraction form
    759,016.62/1,047,401.82 = 419,463/x
  3. Step 3: Cross multiply
    759,016.62x = 1,047,401.82 × 419,463
  4. Step 4: Simplify right side
    759,016.62x = 439,346,309,622.66
  5. Step 5: Solve for x
    x = 439,346,309,622.66/759,016.62
  6. Step 6: Final answer
    x = 578,836.22

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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.