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Finding the Fourth Proportional to 709,129.63, 978,645.15 and 403,234.48

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Solution

The fourth proportional to 709,129.63, 978,645.15 and 403,234.48 is: 556,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,129.63 : 978,645.15 = 403,234.48 : x
  2. Step 2: Convert to fraction form
    709,129.63/978,645.15 = 403,234.48/x
  3. Step 3: Cross multiply
    709,129.63x = 978,645.15 × 403,234.48
  4. Step 4: Simplify right side
    709,129.63x = 394,623,468,164.77
  5. Step 5: Solve for x
    x = 394,623,468,164.77/709,129.63
  6. Step 6: Final answer
    x = 556,489.89

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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.