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Finding the Fourth Proportional to 709,128.63, 978,643.77 and 403,233.48

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Solution

The fourth proportional to 709,128.63, 978,643.77 and 403,233.48 is: 556,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,128.63 : 978,643.77 = 403,233.48 : x
  2. Step 2: Convert to fraction form
    709,128.63/978,643.77 = 403,233.48/x
  3. Step 3: Cross multiply
    709,128.63x = 978,643.77 × 403,233.48
  4. Step 4: Simplify right side
    709,128.63x = 394,621,933,057.42
  5. Step 5: Solve for x
    x = 394,621,933,057.42/709,128.63
  6. Step 6: Final answer
    x = 556,488.51

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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.