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Finding the Fourth Proportional to 652,081.90, 978,171.45 and 231,303.10

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Solution

The fourth proportional to 652,081.90, 978,171.45 and 231,303.10 is: 346,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,081.90 : 978,171.45 = 231,303.10 : x
  2. Step 2: Convert to fraction form
    652,081.90/978,171.45 = 231,303.10/x
  3. Step 3: Cross multiply
    652,081.90x = 978,171.45 × 231,303.10
  4. Step 4: Simplify right side
    652,081.90x = 226,254,088,716.50
  5. Step 5: Solve for x
    x = 226,254,088,716.50/652,081.90
  6. Step 6: Final answer
    x = 346,971.89

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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.