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Finding the Fourth Proportional to 317,664.81, 438,383.70 and 174,423.60

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Solution

The fourth proportional to 317,664.81, 438,383.70 and 174,423.60 is: 240,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,664.81 : 438,383.70 = 174,423.60 : x
  2. Step 2: Convert to fraction form
    317,664.81/438,383.70 = 174,423.60/x
  3. Step 3: Cross multiply
    317,664.81x = 438,383.70 × 174,423.60
  4. Step 4: Simplify right side
    317,664.81x = 76,464,463,135.32
  5. Step 5: Solve for x
    x = 76,464,463,135.32/317,664.81
  6. Step 6: Final answer
    x = 240,708.01

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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.