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Finding the Fourth Proportional to 652,581.16, 978,291.90 and 231,801.64

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Solution

The fourth proportional to 652,581.16, 978,291.90 and 231,801.64 is: 347,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,581.16 : 978,291.90 = 231,801.64 : x
  2. Step 2: Convert to fraction form
    652,581.16/978,291.90 = 231,801.64/x
  3. Step 3: Cross multiply
    652,581.16x = 978,291.90 × 231,801.64
  4. Step 4: Simplify right side
    652,581.16x = 226,769,666,818.72
  5. Step 5: Solve for x
    x = 226,769,666,818.72/652,581.16
  6. Step 6: Final answer
    x = 347,496.50

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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.