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Finding the Fourth Proportional to 312,469.74, 470,035.04 and 283,240.52

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Solution

The fourth proportional to 312,469.74, 470,035.04 and 283,240.52 is: 426,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,469.74 : 470,035.04 = 283,240.52 : x
  2. Step 2: Convert to fraction form
    312,469.74/470,035.04 = 283,240.52/x
  3. Step 3: Cross multiply
    312,469.74x = 470,035.04 × 283,240.52
  4. Step 4: Simplify right side
    312,469.74x = 133,132,969,147.82
  5. Step 5: Solve for x
    x = 133,132,969,147.82/312,469.74
  6. Step 6: Final answer
    x = 426,066.76

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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.