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Finding the Fourth Proportional to 240,509.80, 360,894.30 and 100,282.60

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Solution

The fourth proportional to 240,509.80, 360,894.30 and 100,282.60 is: 150,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,509.80 : 360,894.30 = 100,282.60 : x
  2. Step 2: Convert to fraction form
    240,509.80/360,894.30 = 100,282.60/x
  3. Step 3: Cross multiply
    240,509.80x = 360,894.30 × 100,282.60
  4. Step 4: Simplify right side
    240,509.80x = 36,191,418,729.18
  5. Step 5: Solve for x
    x = 36,191,418,729.18/240,509.80
  6. Step 6: Final answer
    x = 150,477.94

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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.