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Finding the Fourth Proportional to 427,419.41, 641,129.91 and 174,699.71

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Solution

The fourth proportional to 427,419.41, 641,129.91 and 174,699.71 is: 262,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,419.41 : 641,129.91 = 174,699.71 : x
  2. Step 2: Convert to fraction form
    427,419.41/641,129.91 = 174,699.71/x
  3. Step 3: Cross multiply
    427,419.41x = 641,129.91 × 174,699.71
  4. Step 4: Simplify right side
    427,419.41x = 112,005,209,349.33
  5. Step 5: Solve for x
    x = 112,005,209,349.33/427,419.41
  6. Step 6: Final answer
    x = 262,049.89

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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.