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Finding the Fourth Proportional to 280,409.41, 419,875.98 and 167,822.65

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Solution

The fourth proportional to 280,409.41, 419,875.98 and 167,822.65 is: 251,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,409.41 : 419,875.98 = 167,822.65 : x
  2. Step 2: Convert to fraction form
    280,409.41/419,875.98 = 167,822.65/x
  3. Step 3: Cross multiply
    280,409.41x = 419,875.98 × 167,822.65
  4. Step 4: Simplify right side
    280,409.41x = 70,464,699,634.95
  5. Step 5: Solve for x
    x = 70,464,699,634.95/280,409.41
  6. Step 6: Final answer
    x = 251,292.21

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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.