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Finding the Fourth Proportional to 283,059.65, 390,558.17 and 206,620.40

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Solution

The fourth proportional to 283,059.65, 390,558.17 and 206,620.40 is: 285,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,059.65 : 390,558.17 = 206,620.40 : x
  2. Step 2: Convert to fraction form
    283,059.65/390,558.17 = 206,620.40/x
  3. Step 3: Cross multiply
    283,059.65x = 390,558.17 × 206,620.40
  4. Step 4: Simplify right side
    283,059.65x = 80,697,282,322.78
  5. Step 5: Solve for x
    x = 80,697,282,322.78/283,059.65
  6. Step 6: Final answer
    x = 285,089.32

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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.