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Finding the Fourth Proportional to 511,543.76, 705,706.44 and 487,826.96

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Solution

The fourth proportional to 511,543.76, 705,706.44 and 487,826.96 is: 672,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,543.76 : 705,706.44 = 487,826.96 : x
  2. Step 2: Convert to fraction form
    511,543.76/705,706.44 = 487,826.96/x
  3. Step 3: Cross multiply
    511,543.76x = 705,706.44 × 487,826.96
  4. Step 4: Simplify right side
    511,543.76x = 344,262,627,277.62
  5. Step 5: Solve for x
    x = 344,262,627,277.62/511,543.76
  6. Step 6: Final answer
    x = 672,987.64

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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.