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Finding the Fourth Proportional to 709,132.69, 978,649.32 and 403,237.55

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Solution

The fourth proportional to 709,132.69, 978,649.32 and 403,237.55 is: 556,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,132.69 : 978,649.32 = 403,237.55 : x
  2. Step 2: Convert to fraction form
    709,132.69/978,649.32 = 403,237.55/x
  3. Step 3: Cross multiply
    709,132.69x = 978,649.32 × 403,237.55
  4. Step 4: Simplify right side
    709,132.69x = 394,628,158,064.73
  5. Step 5: Solve for x
    x = 394,628,158,064.73/709,132.69
  6. Step 6: Final answer
    x = 556,494.10

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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.