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Finding the Fourth Proportional to 510,884.12, 705,019.68 and 296,148.56

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Solution

The fourth proportional to 510,884.12, 705,019.68 and 296,148.56 is: 408,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,884.12 : 705,019.68 = 296,148.56 : x
  2. Step 2: Convert to fraction form
    510,884.12/705,019.68 = 296,148.56/x
  3. Step 3: Cross multiply
    510,884.12x = 705,019.68 × 296,148.56
  4. Step 4: Simplify right side
    510,884.12x = 208,790,563,003.66
  5. Step 5: Solve for x
    x = 208,790,563,003.66/510,884.12
  6. Step 6: Final answer
    x = 408,684.78

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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.