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Finding the Fourth Proportional to 317,683.31, 476,419.25 and 128,094.71

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Solution

The fourth proportional to 317,683.31, 476,419.25 and 128,094.71 is: 192,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,683.31 : 476,419.25 = 128,094.71 : x
  2. Step 2: Convert to fraction form
    317,683.31/476,419.25 = 128,094.71/x
  3. Step 3: Cross multiply
    317,683.31x = 476,419.25 × 128,094.71
  4. Step 4: Simplify right side
    317,683.31x = 61,026,782,644.60
  5. Step 5: Solve for x
    x = 61,026,782,644.60/317,683.31
  6. Step 6: Final answer
    x = 192,099.43

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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.