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Finding the Fourth Proportional to 778,698, 1,074,603.48 and 421,002

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Solution

The fourth proportional to 778,698, 1,074,603.48 and 421,002 is: 580,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,698 : 1,074,603.48 = 421,002 : x
  2. Step 2: Convert to fraction form
    778,698/1,074,603.48 = 421,002/x
  3. Step 3: Cross multiply
    778,698x = 1,074,603.48 × 421,002
  4. Step 4: Simplify right side
    778,698x = 452,410,214,286.96
  5. Step 5: Solve for x
    x = 452,410,214,286.96/778,698
  6. Step 6: Final answer
    x = 580,982.89

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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.