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Finding the Fourth Proportional to 644,017.60, 965,642.40 and 394,878.40

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Solution

The fourth proportional to 644,017.60, 965,642.40 and 394,878.40 is: 592,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,017.60 : 965,642.40 = 394,878.40 : x
  2. Step 2: Convert to fraction form
    644,017.60/965,642.40 = 394,878.40/x
  3. Step 3: Cross multiply
    644,017.60x = 965,642.40 × 394,878.40
  4. Step 4: Simplify right side
    644,017.60x = 381,311,325,884.16
  5. Step 5: Solve for x
    x = 381,311,325,884.16/644,017.60
  6. Step 6: Final answer
    x = 592,082.15

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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.