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Finding the Fourth Proportional to 298,851.86, 412,415.71 and 169,790.55

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Solution

The fourth proportional to 298,851.86, 412,415.71 and 169,790.55 is: 234,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,851.86 : 412,415.71 = 169,790.55 : x
  2. Step 2: Convert to fraction form
    298,851.86/412,415.71 = 169,790.55/x
  3. Step 3: Cross multiply
    298,851.86x = 412,415.71 × 169,790.55
  4. Step 4: Simplify right side
    298,851.86x = 70,024,291,685.06
  5. Step 5: Solve for x
    x = 70,024,291,685.06/298,851.86
  6. Step 6: Final answer
    x = 234,311.05

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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.