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Finding the Fourth Proportional to 644,018.10, 965,643.15 and 394,878.90

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Solution

The fourth proportional to 644,018.10, 965,643.15 and 394,878.90 is: 592,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,018.10 : 965,643.15 = 394,878.90 : x
  2. Step 2: Convert to fraction form
    644,018.10/965,643.15 = 394,878.90/x
  3. Step 3: Cross multiply
    644,018.10x = 965,643.15 × 394,878.90
  4. Step 4: Simplify right side
    644,018.10x = 381,312,104,864.54
  5. Step 5: Solve for x
    x = 381,312,104,864.54/644,018.10
  6. Step 6: Final answer
    x = 592,082.90

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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.