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Finding the Fourth Proportional to 510,953.31, 705,116.27 and 278,379.09

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Solution

The fourth proportional to 510,953.31, 705,116.27 and 278,379.09 is: 384,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,953.31 : 705,116.27 = 278,379.09 : x
  2. Step 2: Convert to fraction form
    510,953.31/705,116.27 = 278,379.09/x
  3. Step 3: Cross multiply
    510,953.31x = 705,116.27 × 278,379.09
  4. Step 4: Simplify right side
    510,953.31x = 196,289,626,282.74
  5. Step 5: Solve for x
    x = 196,289,626,282.74/510,953.31
  6. Step 6: Final answer
    x = 384,163.53

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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.