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Finding the Fourth Proportional to 709,187.40, 978,640.38 and 403,221.54

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Solution

The fourth proportional to 709,187.40, 978,640.38 and 403,221.54 is: 556,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,187.40 : 978,640.38 = 403,221.54 : x
  2. Step 2: Convert to fraction form
    709,187.40/978,640.38 = 403,221.54/x
  3. Step 3: Cross multiply
    709,187.40x = 978,640.38 × 403,221.54
  4. Step 4: Simplify right side
    709,187.40x = 394,608,884,799.69
  5. Step 5: Solve for x
    x = 394,608,884,799.69/709,187.40
  6. Step 6: Final answer
    x = 556,423.99

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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.