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Finding the Fourth Proportional to 315,696.74, 435,523.10 and 193,195.02

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Solution

The fourth proportional to 315,696.74, 435,523.10 and 193,195.02 is: 266,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,696.74 : 435,523.10 = 193,195.02 : x
  2. Step 2: Convert to fraction form
    315,696.74/435,523.10 = 193,195.02/x
  3. Step 3: Cross multiply
    315,696.74x = 435,523.10 × 193,195.02
  4. Step 4: Simplify right side
    315,696.74x = 84,140,896,312.28
  5. Step 5: Solve for x
    x = 84,140,896,312.28/315,696.74
  6. Step 6: Final answer
    x = 266,524.44

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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.