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Finding the Fourth Proportional to 451,570.40, 677,355.60 and 185,521.85

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Solution

The fourth proportional to 451,570.40, 677,355.60 and 185,521.85 is: 278,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,570.40 : 677,355.60 = 185,521.85 : x
  2. Step 2: Convert to fraction form
    451,570.40/677,355.60 = 185,521.85/x
  3. Step 3: Cross multiply
    451,570.40x = 677,355.60 × 185,521.85
  4. Step 4: Simplify right side
    451,570.40x = 125,664,264,019.86
  5. Step 5: Solve for x
    x = 125,664,264,019.86/451,570.40
  6. Step 6: Final answer
    x = 278,282.78

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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.