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Finding the Fourth Proportional to 338,941.60, 508,415.31 and 86,222.31

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Solution

The fourth proportional to 338,941.60, 508,415.31 and 86,222.31 is: 129,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,941.60 : 508,415.31 = 86,222.31 : x
  2. Step 2: Convert to fraction form
    338,941.60/508,415.31 = 86,222.31/x
  3. Step 3: Cross multiply
    338,941.60x = 508,415.31 × 86,222.31
  4. Step 4: Simplify right side
    338,941.60x = 43,836,742,467.57
  5. Step 5: Solve for x
    x = 43,836,742,467.57/338,941.60
  6. Step 6: Final answer
    x = 129,334.21

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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.