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Finding the Fourth Proportional to 426,681.91, 639,647.11 and 174,174.64

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Solution

The fourth proportional to 426,681.91, 639,647.11 and 174,174.64 is: 261,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,681.91 : 639,647.11 = 174,174.64 : x
  2. Step 2: Convert to fraction form
    426,681.91/639,647.11 = 174,174.64/x
  3. Step 3: Cross multiply
    426,681.91x = 639,647.11 × 174,174.64
  4. Step 4: Simplify right side
    426,681.91x = 111,410,303,729.89
  5. Step 5: Solve for x
    x = 111,410,303,729.89/426,681.91
  6. Step 6: Final answer
    x = 261,108.57

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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.