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Finding the Fourth Proportional to 403,741.60, 605,612.40 and 271,031.20

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Solution

The fourth proportional to 403,741.60, 605,612.40 and 271,031.20 is: 406,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,741.60 : 605,612.40 = 271,031.20 : x
  2. Step 2: Convert to fraction form
    403,741.60/605,612.40 = 271,031.20/x
  3. Step 3: Cross multiply
    403,741.60x = 605,612.40 × 271,031.20
  4. Step 4: Simplify right side
    403,741.60x = 164,139,855,506.88
  5. Step 5: Solve for x
    x = 164,139,855,506.88/403,741.60
  6. Step 6: Final answer
    x = 406,546.80

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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.