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Finding the Fourth Proportional to 345,874.42, 477,413.04 and 202,680.58

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Solution

The fourth proportional to 345,874.42, 477,413.04 and 202,680.58 is: 279,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,874.42 : 477,413.04 = 202,680.58 : x
  2. Step 2: Convert to fraction form
    345,874.42/477,413.04 = 202,680.58/x
  3. Step 3: Cross multiply
    345,874.42x = 477,413.04 × 202,680.58
  4. Step 4: Simplify right side
    345,874.42x = 96,762,351,846.76
  5. Step 5: Solve for x
    x = 96,762,351,846.76/345,874.42
  6. Step 6: Final answer
    x = 279,761.52

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1.5x scale

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.