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Finding the Fourth Proportional to 403,617.40, 605,426.10 and 108,129.40

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Solution

The fourth proportional to 403,617.40, 605,426.10 and 108,129.40 is: 162,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,617.40 : 605,426.10 = 108,129.40 : x
  2. Step 2: Convert to fraction form
    403,617.40/605,426.10 = 108,129.40/x
  3. Step 3: Cross multiply
    403,617.40x = 605,426.10 × 108,129.40
  4. Step 4: Simplify right side
    403,617.40x = 65,464,360,937.34
  5. Step 5: Solve for x
    x = 65,464,360,937.34/403,617.40
  6. Step 6: Final answer
    x = 162,194.10

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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.