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Finding the Fourth Proportional to 326,077.40, 489,116.10 and 89,419.70

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Solution

The fourth proportional to 326,077.40, 489,116.10 and 89,419.70 is: 134,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,077.40 : 489,116.10 = 89,419.70 : x
  2. Step 2: Convert to fraction form
    326,077.40/489,116.10 = 89,419.70/x
  3. Step 3: Cross multiply
    326,077.40x = 489,116.10 × 89,419.70
  4. Step 4: Simplify right side
    326,077.40x = 43,736,614,927.17
  5. Step 5: Solve for x
    x = 43,736,614,927.17/326,077.40
  6. Step 6: Final answer
    x = 134,129.55

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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.