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Finding the Fourth Proportional to 777,788, 1,073,348.16 and 420,092

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Solution

The fourth proportional to 777,788, 1,073,348.16 and 420,092 is: 579,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,788 : 1,073,348.16 = 420,092 : x
  2. Step 2: Convert to fraction form
    777,788/1,073,348.16 = 420,092/x
  3. Step 3: Cross multiply
    777,788x = 1,073,348.16 × 420,092
  4. Step 4: Simplify right side
    777,788x = 450,904,975,230.72
  5. Step 5: Solve for x
    x = 450,904,975,230.72/777,788
  6. Step 6: Final answer
    x = 579,727.35

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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.