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Finding the Fourth Proportional to 510,808.07, 704,920 and 281,366.37

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Solution

The fourth proportional to 510,808.07, 704,920 and 281,366.37 is: 388,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,808.07 : 704,920 = 281,366.37 : x
  2. Step 2: Convert to fraction form
    510,808.07/704,920 = 281,366.37/x
  3. Step 3: Cross multiply
    510,808.07x = 704,920 × 281,366.37
  4. Step 4: Simplify right side
    510,808.07x = 198,340,778,015.80
  5. Step 5: Solve for x
    x = 198,340,778,015.80/510,808.07
  6. Step 6: Final answer
    x = 388,288.27

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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.