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Finding the Fourth Proportional to 521,891.52, 720,198.10 and 307,045.42

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Solution

The fourth proportional to 521,891.52, 720,198.10 and 307,045.42 is: 423,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,891.52 : 720,198.10 = 307,045.42 : x
  2. Step 2: Convert to fraction form
    521,891.52/720,198.10 = 307,045.42/x
  3. Step 3: Cross multiply
    521,891.52x = 720,198.10 × 307,045.42
  4. Step 4: Simplify right side
    521,891.52x = 221,133,526,681.01
  5. Step 5: Solve for x
    x = 221,133,526,681.01/521,891.52
  6. Step 6: Final answer
    x = 423,715.50

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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.