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Finding the Fourth Proportional to 298,465.48, 411,921.66 and 171,116.20

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Solution

The fourth proportional to 298,465.48, 411,921.66 and 171,116.20 is: 236,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,465.48 : 411,921.66 = 171,116.20 : x
  2. Step 2: Convert to fraction form
    298,465.48/411,921.66 = 171,116.20/x
  3. Step 3: Cross multiply
    298,465.48x = 411,921.66 × 171,116.20
  4. Step 4: Simplify right side
    298,465.48x = 70,486,469,156.89
  5. Step 5: Solve for x
    x = 70,486,469,156.89/298,465.48
  6. Step 6: Final answer
    x = 236,162.89

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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.