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Finding the Fourth Proportional to 315,737.73, 435,733.88 and 193,191.77

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Solution

The fourth proportional to 315,737.73, 435,733.88 and 193,191.77 is: 266,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,737.73 : 435,733.88 = 193,191.77 : x
  2. Step 2: Convert to fraction form
    315,737.73/435,733.88 = 193,191.77/x
  3. Step 3: Cross multiply
    315,737.73x = 435,733.88 × 193,191.77
  4. Step 4: Simplify right side
    315,737.73x = 84,180,196,381.54
  5. Step 5: Solve for x
    x = 84,180,196,381.54/315,737.73
  6. Step 6: Final answer
    x = 266,614.31

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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.