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Finding the Fourth Proportional to 403,742.10, 605,613.15 and 254,442.90

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Solution

The fourth proportional to 403,742.10, 605,613.15 and 254,442.90 is: 381,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,742.10 : 605,613.15 = 254,442.90 : x
  2. Step 2: Convert to fraction form
    403,742.10/605,613.15 = 254,442.90/x
  3. Step 3: Cross multiply
    403,742.10x = 605,613.15 × 254,442.90
  4. Step 4: Simplify right side
    403,742.10x = 154,093,966,164.14
  5. Step 5: Solve for x
    x = 154,093,966,164.14/403,742.10
  6. Step 6: Final answer
    x = 381,664.35

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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.