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Finding the Fourth Proportional to 317,439.82, 438,079.60 and 174,205

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Solution

The fourth proportional to 317,439.82, 438,079.60 and 174,205 is: 240,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,439.82 : 438,079.60 = 174,205 : x
  2. Step 2: Convert to fraction form
    317,439.82/438,079.60 = 174,205/x
  3. Step 3: Cross multiply
    317,439.82x = 438,079.60 × 174,205
  4. Step 4: Simplify right side
    317,439.82x = 76,315,656,718
  5. Step 5: Solve for x
    x = 76,315,656,718/317,439.82
  6. Step 6: Final answer
    x = 240,409.84

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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.