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Finding the Fourth Proportional to 510,849.12, 705,027.15 and 281,429.91

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Solution

The fourth proportional to 510,849.12, 705,027.15 and 281,429.91 is: 388,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,849.12 : 705,027.15 = 281,429.91 : x
  2. Step 2: Convert to fraction form
    510,849.12/705,027.15 = 281,429.91/x
  3. Step 3: Cross multiply
    510,849.12x = 705,027.15 × 281,429.91
  4. Step 4: Simplify right side
    510,849.12x = 198,415,727,372.06
  5. Step 5: Solve for x
    x = 198,415,727,372.06/510,849.12
  6. Step 6: Final answer
    x = 388,403.78

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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.