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Finding the Fourth Proportional to 280,871.73, 421,303.50 and 91,340.82

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Solution

The fourth proportional to 280,871.73, 421,303.50 and 91,340.82 is: 137,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,871.73 : 421,303.50 = 91,340.82 : x
  2. Step 2: Convert to fraction form
    280,871.73/421,303.50 = 91,340.82/x
  3. Step 3: Cross multiply
    280,871.73x = 421,303.50 × 91,340.82
  4. Step 4: Simplify right side
    280,871.73x = 38,482,207,158.87
  5. Step 5: Solve for x
    x = 38,482,207,158.87/280,871.73
  6. Step 6: Final answer
    x = 137,009.90

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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.