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Finding the Fourth Proportional to 510,924.65, 705,131.43 and 281,505.46

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Solution

The fourth proportional to 510,924.65, 705,131.43 and 281,505.46 is: 388,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,924.65 : 705,131.43 = 281,505.46 : x
  2. Step 2: Convert to fraction form
    510,924.65/705,131.43 = 281,505.46/x
  3. Step 3: Cross multiply
    510,924.65x = 705,131.43 × 281,505.46
  4. Step 4: Simplify right side
    510,924.65x = 198,498,346,066.26
  5. Step 5: Solve for x
    x = 198,498,346,066.26/510,924.65
  6. Step 6: Final answer
    x = 388,508.07

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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.