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Finding the Fourth Proportional to 723,528, 998,468.64 and 405,576

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Solution

The fourth proportional to 723,528, 998,468.64 and 405,576 is: 559,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,528 : 998,468.64 = 405,576 : x
  2. Step 2: Convert to fraction form
    723,528/998,468.64 = 405,576/x
  3. Step 3: Cross multiply
    723,528x = 998,468.64 × 405,576
  4. Step 4: Simplify right side
    723,528x = 404,954,917,136.64
  5. Step 5: Solve for x
    x = 404,954,917,136.64/723,528
  6. Step 6: Final answer
    x = 559,694.88

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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.