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Finding the Fourth Proportional to 353,122.94, 487,319.27 and 191,988.83

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Solution

The fourth proportional to 353,122.94, 487,319.27 and 191,988.83 is: 264,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,122.94 : 487,319.27 = 191,988.83 : x
  2. Step 2: Convert to fraction form
    353,122.94/487,319.27 = 191,988.83/x
  3. Step 3: Cross multiply
    353,122.94x = 487,319.27 × 191,988.83
  4. Step 4: Simplify right side
    353,122.94x = 93,559,853,087.21
  5. Step 5: Solve for x
    x = 93,559,853,087.21/353,122.94
  6. Step 6: Final answer
    x = 264,949.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.