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Finding the Fourth Proportional to 655,728.48, 983,398.32 and 281,664

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Solution

The fourth proportional to 655,728.48, 983,398.32 and 281,664 is: 422,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,728.48 : 983,398.32 = 281,664 : x
  2. Step 2: Convert to fraction form
    655,728.48/983,398.32 = 281,664/x
  3. Step 3: Cross multiply
    655,728.48x = 983,398.32 × 281,664
  4. Step 4: Simplify right side
    655,728.48x = 276,987,904,404.48
  5. Step 5: Solve for x
    x = 276,987,904,404.48/655,728.48
  6. Step 6: Final answer
    x = 422,412.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.