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Finding the Fourth Proportional to 335,513, 503,269.50 and 86,195

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Solution

The fourth proportional to 335,513, 503,269.50 and 86,195 is: 129,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,513 : 503,269.50 = 86,195 : x
  2. Step 2: Convert to fraction form
    335,513/503,269.50 = 86,195/x
  3. Step 3: Cross multiply
    335,513x = 503,269.50 × 86,195
  4. Step 4: Simplify right side
    335,513x = 43,379,314,552.50
  5. Step 5: Solve for x
    x = 43,379,314,552.50/335,513
  6. Step 6: Final answer
    x = 129,292.50

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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.