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Finding the Fourth Proportional to 317,664.72, 438,382.44 and 174,438

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Solution

The fourth proportional to 317,664.72, 438,382.44 and 174,438 is: 240,727.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,664.72 : 438,382.44 = 174,438 : x
  2. Step 2: Convert to fraction form
    317,664.72/438,382.44 = 174,438/x
  3. Step 3: Cross multiply
    317,664.72x = 438,382.44 × 174,438
  4. Step 4: Simplify right side
    317,664.72x = 76,470,556,068.72
  5. Step 5: Solve for x
    x = 76,470,556,068.72/317,664.72
  6. Step 6: Final answer
    x = 240,727.26

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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.