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Finding the Fourth Proportional to 576,146.88, 864,097.20 and 221,036.40

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Solution

The fourth proportional to 576,146.88, 864,097.20 and 221,036.40 is: 331,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,146.88 : 864,097.20 = 221,036.40 : x
  2. Step 2: Convert to fraction form
    576,146.88/864,097.20 = 221,036.40/x
  3. Step 3: Cross multiply
    576,146.88x = 864,097.20 × 221,036.40
  4. Step 4: Simplify right side
    576,146.88x = 190,996,934,338.08
  5. Step 5: Solve for x
    x = 190,996,934,338.08/576,146.88
  6. Step 6: Final answer
    x = 331,507.37

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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.