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Finding the Fourth Proportional to 283,365.72, 390,812.22 and 206,798.76

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Solution

The fourth proportional to 283,365.72, 390,812.22 and 206,798.76 is: 285,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,365.72 : 390,812.22 = 206,798.76 : x
  2. Step 2: Convert to fraction form
    283,365.72/390,812.22 = 206,798.76/x
  3. Step 3: Cross multiply
    283,365.72x = 390,812.22 × 206,798.76
  4. Step 4: Simplify right side
    283,365.72x = 80,819,482,488.85
  5. Step 5: Solve for x
    x = 80,819,482,488.85/283,365.72
  6. Step 6: Final answer
    x = 285,212.63

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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.