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Finding the Fourth Proportional to 317,438.64, 438,077.96 and 174,203.81

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Solution

The fourth proportional to 317,438.64, 438,077.96 and 174,203.81 is: 240,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,438.64 : 438,077.96 = 174,203.81 : x
  2. Step 2: Convert to fraction form
    317,438.64/438,077.96 = 174,203.81/x
  3. Step 3: Cross multiply
    317,438.64x = 438,077.96 × 174,203.81
  4. Step 4: Simplify right side
    317,438.64x = 76,314,848,943.68
  5. Step 5: Solve for x
    x = 76,314,848,943.68/317,438.64
  6. Step 6: Final answer
    x = 240,408.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.