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Finding the Fourth Proportional to 652,641.66, 978,845.70 and 415,279.26

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Solution

The fourth proportional to 652,641.66, 978,845.70 and 415,279.26 is: 622,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,641.66 : 978,845.70 = 415,279.26 : x
  2. Step 2: Convert to fraction form
    652,641.66/978,845.70 = 415,279.26/x
  3. Step 3: Cross multiply
    652,641.66x = 978,845.70 × 415,279.26
  4. Step 4: Simplify right side
    652,641.66x = 406,494,317,950.18
  5. Step 5: Solve for x
    x = 406,494,317,950.18/652,641.66
  6. Step 6: Final answer
    x = 622,844.58

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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.