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Finding the Fourth Proportional to 326,109.70, 489,237.45 and 126,412.30

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Solution

The fourth proportional to 326,109.70, 489,237.45 and 126,412.30 is: 189,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,109.70 : 489,237.45 = 126,412.30 : x
  2. Step 2: Convert to fraction form
    326,109.70/489,237.45 = 126,412.30/x
  3. Step 3: Cross multiply
    326,109.70x = 489,237.45 × 126,412.30
  4. Step 4: Simplify right side
    326,109.70x = 61,845,631,300.64
  5. Step 5: Solve for x
    x = 61,845,631,300.64/326,109.70
  6. Step 6: Final answer
    x = 189,646.71

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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.