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Finding the Fourth Proportional to 510,893.20, 705,054.36 and 284,538.70

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Solution

The fourth proportional to 510,893.20, 705,054.36 and 284,538.70 is: 392,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,893.20 : 705,054.36 = 284,538.70 : x
  2. Step 2: Convert to fraction form
    510,893.20/705,054.36 = 284,538.70/x
  3. Step 3: Cross multiply
    510,893.20x = 705,054.36 × 284,538.70
  4. Step 4: Simplify right side
    510,893.20x = 200,615,251,023.73
  5. Step 5: Solve for x
    x = 200,615,251,023.73/510,893.20
  6. Step 6: Final answer
    x = 392,675.52

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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.