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Finding the Fourth Proportional to 510,849.87, 705,028.19 and 281,430.68

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Solution

The fourth proportional to 510,849.87, 705,028.19 and 281,430.68 is: 388,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,849.87 : 705,028.19 = 281,430.68 : x
  2. Step 2: Convert to fraction form
    510,849.87/705,028.19 = 281,430.68/x
  3. Step 3: Cross multiply
    510,849.87x = 705,028.19 × 281,430.68
  4. Step 4: Simplify right side
    510,849.87x = 198,416,557,998.58
  5. Step 5: Solve for x
    x = 198,416,557,998.58/510,849.87
  6. Step 6: Final answer
    x = 388,404.83

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1.5x scale

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.