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Finding the Fourth Proportional to 317,644.74, 438,356.81 and 174,405.35

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Solution

The fourth proportional to 317,644.74, 438,356.81 and 174,405.35 is: 240,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,644.74 : 438,356.81 = 174,405.35 : x
  2. Step 2: Convert to fraction form
    317,644.74/438,356.81 = 174,405.35/x
  3. Step 3: Cross multiply
    317,644.74x = 438,356.81 × 174,405.35
  4. Step 4: Simplify right side
    317,644.74x = 76,451,774,404.84
  5. Step 5: Solve for x
    x = 76,451,774,404.84/317,644.74
  6. Step 6: Final answer
    x = 240,683.27

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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.