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Finding the Fourth Proportional to 231,917.74, 319,905 and 153,335.42

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Solution

The fourth proportional to 231,917.74, 319,905 and 153,335.42 is: 211,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,917.74 : 319,905 = 153,335.42 : x
  2. Step 2: Convert to fraction form
    231,917.74/319,905 = 153,335.42/x
  3. Step 3: Cross multiply
    231,917.74x = 319,905 × 153,335.42
  4. Step 4: Simplify right side
    231,917.74x = 49,052,767,535.10
  5. Step 5: Solve for x
    x = 49,052,767,535.10/231,917.74
  6. Step 6: Final answer
    x = 211,509.34

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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.