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Finding the Fourth Proportional to 576,578.49, 864,870.80 and 378,155.40

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Solution

The fourth proportional to 576,578.49, 864,870.80 and 378,155.40 is: 567,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,578.49 : 864,870.80 = 378,155.40 : x
  2. Step 2: Convert to fraction form
    576,578.49/864,870.80 = 378,155.40/x
  3. Step 3: Cross multiply
    576,578.49x = 864,870.80 × 378,155.40
  4. Step 4: Simplify right side
    576,578.49x = 327,055,561,431.54
  5. Step 5: Solve for x
    x = 327,055,561,431.54/576,578.49
  6. Step 6: Final answer
    x = 567,235.11

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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.