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Finding the Fourth Proportional to 313,679.78, 470,255.18 and 136,053.02

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Solution

The fourth proportional to 313,679.78, 470,255.18 and 136,053.02 is: 203,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,679.78 : 470,255.18 = 136,053.02 : x
  2. Step 2: Convert to fraction form
    313,679.78/470,255.18 = 136,053.02/x
  3. Step 3: Cross multiply
    313,679.78x = 470,255.18 × 136,053.02
  4. Step 4: Simplify right side
    313,679.78x = 63,979,634,378.10
  5. Step 5: Solve for x
    x = 63,979,634,378.10/313,679.78
  6. Step 6: Final answer
    x = 203,964.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.