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Finding the Fourth Proportional to 778,746, 1,074,669.48 and 421,050

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Solution

The fourth proportional to 778,746, 1,074,669.48 and 421,050 is: 581,049

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,746 : 1,074,669.48 = 421,050 : x
  2. Step 2: Convert to fraction form
    778,746/1,074,669.48 = 421,050/x
  3. Step 3: Cross multiply
    778,746x = 1,074,669.48 × 421,050
  4. Step 4: Simplify right side
    778,746x = 452,489,584,554
  5. Step 5: Solve for x
    x = 452,489,584,554/778,746
  6. Step 6: Final answer
    x = 581,049

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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.