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Finding the Fourth Proportional to 261,420, 391,971.81 and 117,299.40

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Solution

The fourth proportional to 261,420, 391,971.81 and 117,299.40 is: 175,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,420 : 391,971.81 = 117,299.40 : x
  2. Step 2: Convert to fraction form
    261,420/391,971.81 = 117,299.40/x
  3. Step 3: Cross multiply
    261,420x = 391,971.81 × 117,299.40
  4. Step 4: Simplify right side
    261,420x = 45,978,058,129.91
  5. Step 5: Solve for x
    x = 45,978,058,129.91/261,420
  6. Step 6: Final answer
    x = 175,878.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.