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Finding the Fourth Proportional to 543,851.20, 814,999.20 and 400,578.40

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Solution

The fourth proportional to 543,851.20, 814,999.20 and 400,578.40 is: 600,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,851.20 : 814,999.20 = 400,578.40 : x
  2. Step 2: Convert to fraction form
    543,851.20/814,999.20 = 400,578.40/x
  3. Step 3: Cross multiply
    543,851.20x = 814,999.20 × 400,578.40
  4. Step 4: Simplify right side
    543,851.20x = 326,471,075,537.28
  5. Step 5: Solve for x
    x = 326,471,075,537.28/543,851.20
  6. Step 6: Final answer
    x = 600,294.85

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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.