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Finding the Fourth Proportional to 576,565, 864,850.56 and 378,141.92

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Solution

The fourth proportional to 576,565, 864,850.56 and 378,141.92 is: 567,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,565 : 864,850.56 = 378,141.92 : x
  2. Step 2: Convert to fraction form
    576,565/864,850.56 = 378,141.92/x
  3. Step 3: Cross multiply
    576,565x = 864,850.56 × 378,141.92
  4. Step 4: Simplify right side
    576,565x = 327,036,251,271.48
  5. Step 5: Solve for x
    x = 327,036,251,271.48/576,565
  6. Step 6: Final answer
    x = 567,214.89

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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.