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Finding the Fourth Proportional to 778,884, 1,074,859.98 and 421,188

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Solution

The fourth proportional to 778,884, 1,074,859.98 and 421,188 is: 581,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,884 : 1,074,859.98 = 421,188 : x
  2. Step 2: Convert to fraction form
    778,884/1,074,859.98 = 421,188/x
  3. Step 3: Cross multiply
    778,884x = 1,074,859.98 × 421,188
  4. Step 4: Simplify right side
    778,884x = 452,718,125,256.24
  5. Step 5: Solve for x
    x = 452,718,125,256.24/778,884
  6. Step 6: Final answer
    x = 581,239.47

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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.