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Finding the Fourth Proportional to 303,385, 455,077.50 and 81,769

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Solution

The fourth proportional to 303,385, 455,077.50 and 81,769 is: 122,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,385 : 455,077.50 = 81,769 : x
  2. Step 2: Convert to fraction form
    303,385/455,077.50 = 81,769/x
  3. Step 3: Cross multiply
    303,385x = 455,077.50 × 81,769
  4. Step 4: Simplify right side
    303,385x = 37,211,232,097.50
  5. Step 5: Solve for x
    x = 37,211,232,097.50/303,385
  6. Step 6: Final answer
    x = 122,653.50

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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.