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Finding the Fourth Proportional to 319,725.58, 479,543 and 109,332.94

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Solution

The fourth proportional to 319,725.58, 479,543 and 109,332.94 is: 163,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,725.58 : 479,543 = 109,332.94 : x
  2. Step 2: Convert to fraction form
    319,725.58/479,543 = 109,332.94/x
  3. Step 3: Cross multiply
    319,725.58x = 479,543 × 109,332.94
  4. Step 4: Simplify right side
    319,725.58x = 52,429,843,648.71
  5. Step 5: Solve for x
    x = 52,429,843,648.71/319,725.58
  6. Step 6: Final answer
    x = 163,983.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.