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Finding the Fourth Proportional to 283,506.29, 390,700.37 and 202,793.68

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Solution

The fourth proportional to 283,506.29, 390,700.37 and 202,793.68 is: 279,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,506.29 : 390,700.37 = 202,793.68 : x
  2. Step 2: Convert to fraction form
    283,506.29/390,700.37 = 202,793.68/x
  3. Step 3: Cross multiply
    283,506.29x = 390,700.37 × 202,793.68
  4. Step 4: Simplify right side
    283,506.29x = 79,231,562,842.19
  5. Step 5: Solve for x
    x = 79,231,562,842.19/283,506.29
  6. Step 6: Final answer
    x = 279,470.22

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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.