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Finding the Fourth Proportional to 555,641.40, 766,910.52 and 314,063.76

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Solution

The fourth proportional to 555,641.40, 766,910.52 and 314,063.76 is: 433,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,641.40 : 766,910.52 = 314,063.76 : x
  2. Step 2: Convert to fraction form
    555,641.40/766,910.52 = 314,063.76/x
  3. Step 3: Cross multiply
    555,641.40x = 766,910.52 × 314,063.76
  4. Step 4: Simplify right side
    555,641.40x = 240,858,801,494.76
  5. Step 5: Solve for x
    x = 240,858,801,494.76/555,641.40
  6. Step 6: Final answer
    x = 433,478.86

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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.