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Finding the Fourth Proportional to 543,704.70, 814,779.45 and 400,431.90

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Solution

The fourth proportional to 543,704.70, 814,779.45 and 400,431.90 is: 600,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,704.70 : 814,779.45 = 400,431.90 : x
  2. Step 2: Convert to fraction form
    543,704.70/814,779.45 = 400,431.90/x
  3. Step 3: Cross multiply
    543,704.70x = 814,779.45 × 400,431.90
  4. Step 4: Simplify right side
    543,704.70x = 326,263,683,244.46
  5. Step 5: Solve for x
    x = 326,263,683,244.46/543,704.70
  6. Step 6: Final answer
    x = 600,075.16

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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.