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Finding the Fourth Proportional to 371,592.66, 512,795.05 and 201,828

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Solution

The fourth proportional to 371,592.66, 512,795.05 and 201,828 is: 278,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,592.66 : 512,795.05 = 201,828 : x
  2. Step 2: Convert to fraction form
    371,592.66/512,795.05 = 201,828/x
  3. Step 3: Cross multiply
    371,592.66x = 512,795.05 × 201,828
  4. Step 4: Simplify right side
    371,592.66x = 103,496,399,351.40
  5. Step 5: Solve for x
    x = 103,496,399,351.40/371,592.66
  6. Step 6: Final answer
    x = 278,521.11

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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.