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Finding the Fourth Proportional to 280,377.70, 420,697.86 and 122,585.74

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Solution

The fourth proportional to 280,377.70, 420,697.86 and 122,585.74 is: 183,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,377.70 : 420,697.86 = 122,585.74 : x
  2. Step 2: Convert to fraction form
    280,377.70/420,697.86 = 122,585.74/x
  3. Step 3: Cross multiply
    280,377.70x = 420,697.86 × 122,585.74
  4. Step 4: Simplify right side
    280,377.70x = 51,571,558,484.52
  5. Step 5: Solve for x
    x = 51,571,558,484.52/280,377.70
  6. Step 6: Final answer
    x = 183,936.02

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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.