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Finding the Fourth Proportional to 523,141.48, 721,838.82 and 319,145.32

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Solution

The fourth proportional to 523,141.48, 721,838.82 and 319,145.32 is: 440,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,141.48 : 721,838.82 = 319,145.32 : x
  2. Step 2: Convert to fraction form
    523,141.48/721,838.82 = 319,145.32/x
  3. Step 3: Cross multiply
    523,141.48x = 721,838.82 × 319,145.32
  4. Step 4: Simplify right side
    523,141.48x = 230,371,481,197.32
  5. Step 5: Solve for x
    x = 230,371,481,197.32/523,141.48
  6. Step 6: Final answer
    x = 440,361.72

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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.