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Finding the Fourth Proportional to 778,653, 1,074,542.58 and 420,957

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Solution

The fourth proportional to 778,653, 1,074,542.58 and 420,957 is: 580,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,653 : 1,074,542.58 = 420,957 : x
  2. Step 2: Convert to fraction form
    778,653/1,074,542.58 = 420,957/x
  3. Step 3: Cross multiply
    778,653x = 1,074,542.58 × 420,957
  4. Step 4: Simplify right side
    778,653x = 452,336,220,849.06
  5. Step 5: Solve for x
    x = 452,336,220,849.06/778,653
  6. Step 6: Final answer
    x = 580,921.44

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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.