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Finding the Fourth Proportional to 403,271.10, 604,906.65 and 278,855.10

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Solution

The fourth proportional to 403,271.10, 604,906.65 and 278,855.10 is: 418,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,271.10 : 604,906.65 = 278,855.10 : x
  2. Step 2: Convert to fraction form
    403,271.10/604,906.65 = 278,855.10/x
  3. Step 3: Cross multiply
    403,271.10x = 604,906.65 × 278,855.10
  4. Step 4: Simplify right side
    403,271.10x = 168,681,304,376.42
  5. Step 5: Solve for x
    x = 168,681,304,376.42/403,271.10
  6. Step 6: Final answer
    x = 418,282.65

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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.