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Finding the Fourth Proportional to 403,447.40, 605,151.64 and 99,840.32

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Solution

The fourth proportional to 403,447.40, 605,151.64 and 99,840.32 is: 149,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,447.40 : 605,151.64 = 99,840.32 : x
  2. Step 2: Convert to fraction form
    403,447.40/605,151.64 = 99,840.32/x
  3. Step 3: Cross multiply
    403,447.40x = 605,151.64 × 99,840.32
  4. Step 4: Simplify right side
    403,447.40x = 60,418,533,386.12
  5. Step 5: Solve for x
    x = 60,418,533,386.12/403,447.40
  6. Step 6: Final answer
    x = 149,755.66

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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.