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Finding the Fourth Proportional to 312,718.67, 469,078.01 and 76,061.51

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Solution

The fourth proportional to 312,718.67, 469,078.01 and 76,061.51 is: 114,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,718.67 : 469,078.01 = 76,061.51 : x
  2. Step 2: Convert to fraction form
    312,718.67/469,078.01 = 76,061.51/x
  3. Step 3: Cross multiply
    312,718.67x = 469,078.01 × 76,061.51
  4. Step 4: Simplify right side
    312,718.67x = 35,678,781,368.09
  5. Step 5: Solve for x
    x = 35,678,781,368.09/312,718.67
  6. Step 6: Final answer
    x = 114,092.27

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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.