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Finding the Fourth Proportional to 401,878, 554,591.64 and 223,030

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Solution

The fourth proportional to 401,878, 554,591.64 and 223,030 is: 307,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,878 : 554,591.64 = 223,030 : x
  2. Step 2: Convert to fraction form
    401,878/554,591.64 = 223,030/x
  3. Step 3: Cross multiply
    401,878x = 554,591.64 × 223,030
  4. Step 4: Simplify right side
    401,878x = 123,690,573,469.20
  5. Step 5: Solve for x
    x = 123,690,573,469.20/401,878
  6. Step 6: Final answer
    x = 307,781.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.