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Finding the Fourth Proportional to 377,272.80, 520,639.80 and 205,192.32

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Solution

The fourth proportional to 377,272.80, 520,639.80 and 205,192.32 is: 283,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,272.80 : 520,639.80 = 205,192.32 : x
  2. Step 2: Convert to fraction form
    377,272.80/520,639.80 = 205,192.32/x
  3. Step 3: Cross multiply
    377,272.80x = 520,639.80 × 205,192.32
  4. Step 4: Simplify right side
    377,272.80x = 106,831,288,446.34
  5. Step 5: Solve for x
    x = 106,831,288,446.34/377,272.80
  6. Step 6: Final answer
    x = 283,167.22

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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.