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Finding the Fourth Proportional to 491,452.16, 678,413.18 and 330,400.58

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Solution

The fourth proportional to 491,452.16, 678,413.18 and 330,400.58 is: 456,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,452.16 : 678,413.18 = 330,400.58 : x
  2. Step 2: Convert to fraction form
    491,452.16/678,413.18 = 330,400.58/x
  3. Step 3: Cross multiply
    491,452.16x = 678,413.18 × 330,400.58
  4. Step 4: Simplify right side
    491,452.16x = 224,148,108,151.64
  5. Step 5: Solve for x
    x = 224,148,108,151.64/491,452.16
  6. Step 6: Final answer
    x = 456,093.44

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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.