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Finding the Fourth Proportional to 527,553, 728,023.14 and 289,089

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Solution

The fourth proportional to 527,553, 728,023.14 and 289,089 is: 398,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,553 : 728,023.14 = 289,089 : x
  2. Step 2: Convert to fraction form
    527,553/728,023.14 = 289,089/x
  3. Step 3: Cross multiply
    527,553x = 728,023.14 × 289,089
  4. Step 4: Simplify right side
    527,553x = 210,463,481,519.46
  5. Step 5: Solve for x
    x = 210,463,481,519.46/527,553
  6. Step 6: Final answer
    x = 398,942.82

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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.