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Finding the Fourth Proportional to 652,629.66, 978,827.72 and 415,267.26

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Solution

The fourth proportional to 652,629.66, 978,827.72 and 415,267.26 is: 622,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,629.66 : 978,827.72 = 415,267.26 : x
  2. Step 2: Convert to fraction form
    652,629.66/978,827.72 = 415,267.26/x
  3. Step 3: Cross multiply
    652,629.66x = 978,827.72 × 415,267.26
  4. Step 4: Simplify right side
    652,629.66x = 406,475,103,220.11
  5. Step 5: Solve for x
    x = 406,475,103,220.11/652,629.66
  6. Step 6: Final answer
    x = 622,826.59

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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.