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Finding the Fourth Proportional to 288,611.12, 432,916.68 and 174,781.87

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Solution

The fourth proportional to 288,611.12, 432,916.68 and 174,781.87 is: 262,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,611.12 : 432,916.68 = 174,781.87 : x
  2. Step 2: Convert to fraction form
    288,611.12/432,916.68 = 174,781.87/x
  3. Step 3: Cross multiply
    288,611.12x = 432,916.68 × 174,781.87
  4. Step 4: Simplify right side
    288,611.12x = 75,665,986,884.59
  5. Step 5: Solve for x
    x = 75,665,986,884.59/288,611.12
  6. Step 6: Final answer
    x = 262,172.81

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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.