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Finding the Fourth Proportional to 283,162.83, 390,760.64 and 155,838.42

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Solution

The fourth proportional to 283,162.83, 390,760.64 and 155,838.42 is: 215,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,162.83 : 390,760.64 = 155,838.42 : x
  2. Step 2: Convert to fraction form
    283,162.83/390,760.64 = 155,838.42/x
  3. Step 3: Cross multiply
    283,162.83x = 390,760.64 × 155,838.42
  4. Step 4: Simplify right side
    283,162.83x = 60,895,520,735.79
  5. Step 5: Solve for x
    x = 60,895,520,735.79/283,162.83
  6. Step 6: Final answer
    x = 215,054.78

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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.