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Finding the Fourth Proportional to 288,907.80, 432,843.30 and 247,435.80

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Solution

The fourth proportional to 288,907.80, 432,843.30 and 247,435.80 is: 370,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,907.80 : 432,843.30 = 247,435.80 : x
  2. Step 2: Convert to fraction form
    288,907.80/432,843.30 = 247,435.80/x
  3. Step 3: Cross multiply
    288,907.80x = 432,843.30 × 247,435.80
  4. Step 4: Simplify right side
    288,907.80x = 107,100,928,210.14
  5. Step 5: Solve for x
    x = 107,100,928,210.14/288,907.80
  6. Step 6: Final answer
    x = 370,709.72

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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.