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Finding the Fourth Proportional to 261,998.81, 393,048.43 and 84,458.15

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Solution

The fourth proportional to 261,998.81, 393,048.43 and 84,458.15 is: 126,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,998.81 : 393,048.43 = 84,458.15 : x
  2. Step 2: Convert to fraction form
    261,998.81/393,048.43 = 84,458.15/x
  3. Step 3: Cross multiply
    261,998.81x = 393,048.43 × 84,458.15
  4. Step 4: Simplify right side
    261,998.81x = 33,196,140,870.67
  5. Step 5: Solve for x
    x = 33,196,140,870.67/261,998.81
  6. Step 6: Final answer
    x = 126,703.41

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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.