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Finding the Fourth Proportional to 510,385, 765,320.10 and 297,221.80

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Solution

The fourth proportional to 510,385, 765,320.10 and 297,221.80 is: 445,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,385 : 765,320.10 = 297,221.80 : x
  2. Step 2: Convert to fraction form
    510,385/765,320.10 = 297,221.80/x
  3. Step 3: Cross multiply
    510,385x = 765,320.10 × 297,221.80
  4. Step 4: Simplify right side
    510,385x = 227,469,817,698.18
  5. Step 5: Solve for x
    x = 227,469,817,698.18/510,385
  6. Step 6: Final answer
    x = 445,682.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.