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Finding the Fourth Proportional to 387,295.68, 534,518.16 and 217,529.82

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Solution

The fourth proportional to 387,295.68, 534,518.16 and 217,529.82 is: 300,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,295.68 : 534,518.16 = 217,529.82 : x
  2. Step 2: Convert to fraction form
    387,295.68/534,518.16 = 217,529.82/x
  3. Step 3: Cross multiply
    387,295.68x = 534,518.16 × 217,529.82
  4. Step 4: Simplify right side
    387,295.68x = 116,273,639,131.53
  5. Step 5: Solve for x
    x = 116,273,639,131.53/387,295.68
  6. Step 6: Final answer
    x = 300,219.30

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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.