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Finding the Fourth Proportional to 303,032.80, 418,172.66 and 165,208.74

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Solution

The fourth proportional to 303,032.80, 418,172.66 and 165,208.74 is: 227,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,032.80 : 418,172.66 = 165,208.74 : x
  2. Step 2: Convert to fraction form
    303,032.80/418,172.66 = 165,208.74/x
  3. Step 3: Cross multiply
    303,032.80x = 418,172.66 × 165,208.74
  4. Step 4: Simplify right side
    303,032.80x = 69,085,778,261.05
  5. Step 5: Solve for x
    x = 69,085,778,261.05/303,032.80
  6. Step 6: Final answer
    x = 227,981.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.