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Finding the Fourth Proportional to 280,866.70, 421,323.25 and 91,322.76

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Solution

The fourth proportional to 280,866.70, 421,323.25 and 91,322.76 is: 136,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,866.70 : 421,323.25 = 91,322.76 : x
  2. Step 2: Convert to fraction form
    280,866.70/421,323.25 = 91,322.76/x
  3. Step 3: Cross multiply
    280,866.70x = 421,323.25 × 91,322.76
  4. Step 4: Simplify right side
    280,866.70x = 38,476,402,042.17
  5. Step 5: Solve for x
    x = 38,476,402,042.17/280,866.70
  6. Step 6: Final answer
    x = 136,991.68

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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.