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Finding the Fourth Proportional to 778,841, 1,074,800.64 and 421,145

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Solution

The fourth proportional to 778,841, 1,074,800.64 and 421,145 is: 581,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,841 : 1,074,800.64 = 421,145 : x
  2. Step 2: Convert to fraction form
    778,841/1,074,800.64 = 421,145/x
  3. Step 3: Cross multiply
    778,841x = 1,074,800.64 × 421,145
  4. Step 4: Simplify right side
    778,841x = 452,646,915,532.80
  5. Step 5: Solve for x
    x = 452,646,915,532.80/778,841
  6. Step 6: Final answer
    x = 581,180.13

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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.