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Finding the Fourth Proportional to 778,644, 1,074,528.96 and 420,948

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Solution

The fourth proportional to 778,644, 1,074,528.96 and 420,948 is: 580,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,644 : 1,074,528.96 = 420,948 : x
  2. Step 2: Convert to fraction form
    778,644/1,074,528.96 = 420,948/x
  3. Step 3: Cross multiply
    778,644x = 1,074,528.96 × 420,948
  4. Step 4: Simplify right side
    778,644x = 452,320,816,654.08
  5. Step 5: Solve for x
    x = 452,320,816,654.08/778,644
  6. Step 6: Final answer
    x = 580,908.37

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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.