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Finding the Fourth Proportional to 324,019.78, 486,029.67 and 102,386.50

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Solution

The fourth proportional to 324,019.78, 486,029.67 and 102,386.50 is: 153,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,019.78 : 486,029.67 = 102,386.50 : x
  2. Step 2: Convert to fraction form
    324,019.78/486,029.67 = 102,386.50/x
  3. Step 3: Cross multiply
    324,019.78x = 486,029.67 × 102,386.50
  4. Step 4: Simplify right side
    324,019.78x = 49,762,876,807.46
  5. Step 5: Solve for x
    x = 49,762,876,807.46/324,019.78
  6. Step 6: Final answer
    x = 153,579.75

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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.