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Finding the Fourth Proportional to 489,990, 735,175.14 and 190,680.81

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Solution

The fourth proportional to 489,990, 735,175.14 and 190,680.81 is: 286,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,990 : 735,175.14 = 190,680.81 : x
  2. Step 2: Convert to fraction form
    489,990/735,175.14 = 190,680.81/x
  3. Step 3: Cross multiply
    489,990x = 735,175.14 × 190,680.81
  4. Step 4: Simplify right side
    489,990x = 140,183,791,187.06
  5. Step 5: Solve for x
    x = 140,183,791,187.06/489,990
  6. Step 6: Final answer
    x = 286,095.21

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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.