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Finding the Fourth Proportional to 340,902.38, 470,448.56 and 187,946.16

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Solution

The fourth proportional to 340,902.38, 470,448.56 and 187,946.16 is: 259,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,902.38 : 470,448.56 = 187,946.16 : x
  2. Step 2: Convert to fraction form
    340,902.38/470,448.56 = 187,946.16/x
  3. Step 3: Cross multiply
    340,902.38x = 470,448.56 × 187,946.16
  4. Step 4: Simplify right side
    340,902.38x = 88,419,000,329.53
  5. Step 5: Solve for x
    x = 88,419,000,329.53/340,902.38
  6. Step 6: Final answer
    x = 259,367.51

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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.