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Finding the Fourth Proportional to 324,240, 486,362.16 and 102,624

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Solution

The fourth proportional to 324,240, 486,362.16 and 102,624 is: 153,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,240 : 486,362.16 = 102,624 : x
  2. Step 2: Convert to fraction form
    324,240/486,362.16 = 102,624/x
  3. Step 3: Cross multiply
    324,240x = 486,362.16 × 102,624
  4. Step 4: Simplify right side
    324,240x = 49,912,430,307.84
  5. Step 5: Solve for x
    x = 49,912,430,307.84/324,240
  6. Step 6: Final answer
    x = 153,936.68

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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.