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Finding the Fourth Proportional to 778,888, 1,074,865.50 and 421,192

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Solution

The fourth proportional to 778,888, 1,074,865.50 and 421,192 is: 581,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,888 : 1,074,865.50 = 421,192 : x
  2. Step 2: Convert to fraction form
    778,888/1,074,865.50 = 421,192/x
  3. Step 3: Cross multiply
    778,888x = 1,074,865.50 × 421,192
  4. Step 4: Simplify right side
    778,888x = 452,724,749,676
  5. Step 5: Solve for x
    x = 452,724,749,676/778,888
  6. Step 6: Final answer
    x = 581,244.99

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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.