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Finding the Fourth Proportional to 231,304.79, 319,102.85 and 154,848.51

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Solution

The fourth proportional to 231,304.79, 319,102.85 and 154,848.51 is: 213,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,304.79 : 319,102.85 = 154,848.51 : x
  2. Step 2: Convert to fraction form
    231,304.79/319,102.85 = 154,848.51/x
  3. Step 3: Cross multiply
    231,304.79x = 319,102.85 × 154,848.51
  4. Step 4: Simplify right side
    231,304.79x = 49,412,600,859.25
  5. Step 5: Solve for x
    x = 49,412,600,859.25/231,304.79
  6. Step 6: Final answer
    x = 213,625.50

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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.