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Finding the Fourth Proportional to 776,656.80, 1,165,023.60 and 403,408.80

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Solution

The fourth proportional to 776,656.80, 1,165,023.60 and 403,408.80 is: 605,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,656.80 : 1,165,023.60 = 403,408.80 : x
  2. Step 2: Convert to fraction form
    776,656.80/1,165,023.60 = 403,408.80/x
  3. Step 3: Cross multiply
    776,656.80x = 1,165,023.60 × 403,408.80
  4. Step 4: Simplify right side
    776,656.80x = 469,980,772,447.68
  5. Step 5: Solve for x
    x = 469,980,772,447.68/776,656.80
  6. Step 6: Final answer
    x = 605,133.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.