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Finding the Fourth Proportional to 400,063, 600,389.88 and 189,701.68

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Solution

The fourth proportional to 400,063, 600,389.88 and 189,701.68 is: 284,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,063 : 600,389.88 = 189,701.68 : x
  2. Step 2: Convert to fraction form
    400,063/600,389.88 = 189,701.68/x
  3. Step 3: Cross multiply
    400,063x = 600,389.88 × 189,701.68
  4. Step 4: Simplify right side
    400,063x = 113,894,968,891.00
  5. Step 5: Solve for x
    x = 113,894,968,891.00/400,063
  6. Step 6: Final answer
    x = 284,692.58

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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.