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Finding the Fourth Proportional to 769,342.64, 1,153,897.20 and 270,590

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Solution

The fourth proportional to 769,342.64, 1,153,897.20 and 270,590 is: 405,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,342.64 : 1,153,897.20 = 270,590 : x
  2. Step 2: Convert to fraction form
    769,342.64/1,153,897.20 = 270,590/x
  3. Step 3: Cross multiply
    769,342.64x = 1,153,897.20 × 270,590
  4. Step 4: Simplify right side
    769,342.64x = 312,233,043,348
  5. Step 5: Solve for x
    x = 312,233,043,348/769,342.64
  6. Step 6: Final answer
    x = 405,843.93

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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.