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Finding the Fourth Proportional to 403,681.60, 605,090.40 and 137,195.20

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Solution

The fourth proportional to 403,681.60, 605,090.40 and 137,195.20 is: 205,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,681.60 : 605,090.40 = 137,195.20 : x
  2. Step 2: Convert to fraction form
    403,681.60/605,090.40 = 137,195.20/x
  3. Step 3: Cross multiply
    403,681.60x = 605,090.40 × 137,195.20
  4. Step 4: Simplify right side
    403,681.60x = 83,015,498,446.08
  5. Step 5: Solve for x
    x = 83,015,498,446.08/403,681.60
  6. Step 6: Final answer
    x = 205,645.98

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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.