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Finding the Fourth Proportional to 709,127.12, 978,641.70 and 403,231.97

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Solution

The fourth proportional to 709,127.12, 978,641.70 and 403,231.97 is: 556,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,127.12 : 978,641.70 = 403,231.97 : x
  2. Step 2: Convert to fraction form
    709,127.12/978,641.70 = 403,231.97/x
  3. Step 3: Cross multiply
    709,127.12x = 978,641.70 × 403,231.97
  4. Step 4: Simplify right side
    709,127.12x = 394,619,621,549.63
  5. Step 5: Solve for x
    x = 394,619,621,549.63/709,127.12
  6. Step 6: Final answer
    x = 556,486.43

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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.