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Finding the Fourth Proportional to 303,726.42, 419,139.96 and 165,905.46

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Solution

The fourth proportional to 303,726.42, 419,139.96 and 165,905.46 is: 228,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,726.42 : 419,139.96 = 165,905.46 : x
  2. Step 2: Convert to fraction form
    303,726.42/419,139.96 = 165,905.46/x
  3. Step 3: Cross multiply
    303,726.42x = 419,139.96 × 165,905.46
  4. Step 4: Simplify right side
    303,726.42x = 69,537,607,868.18
  5. Step 5: Solve for x
    x = 69,537,607,868.18/303,726.42
  6. Step 6: Final answer
    x = 228,948.17

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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.