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Finding the Fourth Proportional to 317,009.78, 437,471.43 and 173,775.86

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Solution

The fourth proportional to 317,009.78, 437,471.43 and 173,775.86 is: 239,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,009.78 : 437,471.43 = 173,775.86 : x
  2. Step 2: Convert to fraction form
    317,009.78/437,471.43 = 173,775.86/x
  3. Step 3: Cross multiply
    317,009.78x = 437,471.43 × 173,775.86
  4. Step 4: Simplify right side
    317,009.78x = 76,021,973,973.68
  5. Step 5: Solve for x
    x = 76,021,973,973.68/317,009.78
  6. Step 6: Final answer
    x = 239,809.55

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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.