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Finding the Fourth Proportional to 298,109.42, 411,390.70 and 170,785.52

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Solution

The fourth proportional to 298,109.42, 411,390.70 and 170,785.52 is: 235,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,109.42 : 411,390.70 = 170,785.52 : x
  2. Step 2: Convert to fraction form
    298,109.42/411,390.70 = 170,785.52/x
  3. Step 3: Cross multiply
    298,109.42x = 411,390.70 × 170,785.52
  4. Step 4: Simplify right side
    298,109.42x = 70,259,572,138.75
  5. Step 5: Solve for x
    x = 70,259,572,138.75/298,109.42
  6. Step 6: Final answer
    x = 235,683.84

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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.