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Finding the Fourth Proportional to 326,045.76, 489,072.08 and 89,388.48

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Solution

The fourth proportional to 326,045.76, 489,072.08 and 89,388.48 is: 134,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,045.76 : 489,072.08 = 89,388.48 : x
  2. Step 2: Convert to fraction form
    326,045.76/489,072.08 = 89,388.48/x
  3. Step 3: Cross multiply
    326,045.76x = 489,072.08 × 89,388.48
  4. Step 4: Simplify right side
    326,045.76x = 43,717,409,841.64
  5. Step 5: Solve for x
    x = 43,717,409,841.64/326,045.76
  6. Step 6: Final answer
    x = 134,083.66

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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.