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Finding the Fourth Proportional to 511,511.61, 705,869.84 and 282,078.59

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Solution

The fourth proportional to 511,511.61, 705,869.84 and 282,078.59 is: 389,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,511.61 : 705,869.84 = 282,078.59 : x
  2. Step 2: Convert to fraction form
    511,511.61/705,869.84 = 282,078.59/x
  3. Step 3: Cross multiply
    511,511.61x = 705,869.84 × 282,078.59
  4. Step 4: Simplify right side
    511,511.61x = 199,110,764,250.98
  5. Step 5: Solve for x
    x = 199,110,764,250.98/511,511.61
  6. Step 6: Final answer
    x = 389,259.52

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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.