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Finding the Fourth Proportional to 280,904.82, 421,353 and 91,373.82

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Solution

The fourth proportional to 280,904.82, 421,353 and 91,373.82 is: 137,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,904.82 : 421,353 = 91,373.82 : x
  2. Step 2: Convert to fraction form
    280,904.82/421,353 = 91,373.82/x
  3. Step 3: Cross multiply
    280,904.82x = 421,353 × 91,373.82
  4. Step 4: Simplify right side
    280,904.82x = 38,500,633,178.46
  5. Step 5: Solve for x
    x = 38,500,633,178.46/280,904.82
  6. Step 6: Final answer
    x = 137,059.35

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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.