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Finding the Fourth Proportional to 371,693.40, 512,911.62 and 201,923.88

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Solution

The fourth proportional to 371,693.40, 512,911.62 and 201,923.88 is: 278,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,693.40 : 512,911.62 = 201,923.88 : x
  2. Step 2: Convert to fraction form
    371,693.40/512,911.62 = 201,923.88/x
  3. Step 3: Cross multiply
    371,693.40x = 512,911.62 × 201,923.88
  4. Step 4: Simplify right side
    371,693.40x = 103,569,104,407.49
  5. Step 5: Solve for x
    x = 103,569,104,407.49/371,693.40
  6. Step 6: Final answer
    x = 278,641.23

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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.