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Finding the Fourth Proportional to 723,691.32, 998,564.94 and 437,019.48

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Solution

The fourth proportional to 723,691.32, 998,564.94 and 437,019.48 is: 603,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,691.32 : 998,564.94 = 437,019.48 : x
  2. Step 2: Convert to fraction form
    723,691.32/998,564.94 = 437,019.48/x
  3. Step 3: Cross multiply
    723,691.32x = 998,564.94 × 437,019.48
  4. Step 4: Simplify right side
    723,691.32x = 436,392,330,825.03
  5. Step 5: Solve for x
    x = 436,392,330,825.03/723,691.32
  6. Step 6: Final answer
    x = 603,008.93

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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.