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Finding the Fourth Proportional to 383,670.30, 576,196.65 and 278,607.90

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Solution

The fourth proportional to 383,670.30, 576,196.65 and 278,607.90 is: 418,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,670.30 : 576,196.65 = 278,607.90 : x
  2. Step 2: Convert to fraction form
    383,670.30/576,196.65 = 278,607.90/x
  3. Step 3: Cross multiply
    383,670.30x = 576,196.65 × 278,607.90
  4. Step 4: Simplify right side
    383,670.30x = 160,532,938,643.54
  5. Step 5: Solve for x
    x = 160,532,938,643.54/383,670.30
  6. Step 6: Final answer
    x = 418,413.78

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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.