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Finding the Fourth Proportional to 253,755.04, 380,224.32 and 165,225.28

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Solution

The fourth proportional to 253,755.04, 380,224.32 and 165,225.28 is: 247,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,755.04 : 380,224.32 = 165,225.28 : x
  2. Step 2: Convert to fraction form
    253,755.04/380,224.32 = 165,225.28/x
  3. Step 3: Cross multiply
    253,755.04x = 380,224.32 × 165,225.28
  4. Step 4: Simplify right side
    253,755.04x = 62,822,669,734.81
  5. Step 5: Solve for x
    x = 62,822,669,734.81/253,755.04
  6. Step 6: Final answer
    x = 247,572.11

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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.