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Finding the Fourth Proportional to 415,502.94, 623,143.54 and 115,930.88

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Solution

The fourth proportional to 415,502.94, 623,143.54 and 115,930.88 is: 173,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,502.94 : 623,143.54 = 115,930.88 : x
  2. Step 2: Convert to fraction form
    415,502.94/623,143.54 = 115,930.88/x
  3. Step 3: Cross multiply
    415,502.94x = 623,143.54 × 115,930.88
  4. Step 4: Simplify right side
    415,502.94x = 72,241,578,958.52
  5. Step 5: Solve for x
    x = 72,241,578,958.52/415,502.94
  6. Step 6: Final answer
    x = 173,865.39

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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.