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Finding the Fourth Proportional to 510,958.94, 705,140.16 and 281,525.63

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Solution

The fourth proportional to 510,958.94, 705,140.16 and 281,525.63 is: 388,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,958.94 : 705,140.16 = 281,525.63 : x
  2. Step 2: Convert to fraction form
    510,958.94/705,140.16 = 281,525.63/x
  3. Step 3: Cross multiply
    510,958.94x = 705,140.16 × 281,525.63
  4. Step 4: Simplify right side
    510,958.94x = 198,515,028,489.43
  5. Step 5: Solve for x
    x = 198,515,028,489.43/510,958.94
  6. Step 6: Final answer
    x = 388,514.64

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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.