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Finding the Fourth Proportional to 387,570.42, 534,843.81 and 217,804.14

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Solution

The fourth proportional to 387,570.42, 534,843.81 and 217,804.14 is: 300,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,570.42 : 534,843.81 = 217,804.14 : x
  2. Step 2: Convert to fraction form
    387,570.42/534,843.81 = 217,804.14/x
  3. Step 3: Cross multiply
    387,570.42x = 534,843.81 × 217,804.14
  4. Step 4: Simplify right side
    387,570.42x = 116,491,196,071.37
  5. Step 5: Solve for x
    x = 116,491,196,071.37/387,570.42
  6. Step 6: Final answer
    x = 300,567.82

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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.