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Finding the Fourth Proportional to 317,448.94, 438,065.13 and 174,206.11

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Solution

The fourth proportional to 317,448.94, 438,065.13 and 174,206.11 is: 240,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,448.94 : 438,065.13 = 174,206.11 : x
  2. Step 2: Convert to fraction form
    317,448.94/438,065.13 = 174,206.11/x
  3. Step 3: Cross multiply
    317,448.94x = 438,065.13 × 174,206.11
  4. Step 4: Simplify right side
    317,448.94x = 76,313,622,223.94
  5. Step 5: Solve for x
    x = 76,313,622,223.94/317,448.94
  6. Step 6: Final answer
    x = 240,396.53

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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.