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Finding the Fourth Proportional to 508,259.70, 762,459.90 and 171,396.66

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Solution

The fourth proportional to 508,259.70, 762,459.90 and 171,396.66 is: 257,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,259.70 : 762,459.90 = 171,396.66 : x
  2. Step 2: Convert to fraction form
    508,259.70/762,459.90 = 171,396.66/x
  3. Step 3: Cross multiply
    508,259.70x = 762,459.90 × 171,396.66
  4. Step 4: Simplify right side
    508,259.70x = 130,683,080,243.93
  5. Step 5: Solve for x
    x = 130,683,080,243.93/508,259.70
  6. Step 6: Final answer
    x = 257,118.71

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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.