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Finding the Fourth Proportional to 456,205.80, 684,308.70 and 123,781.80

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Solution

The fourth proportional to 456,205.80, 684,308.70 and 123,781.80 is: 185,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,205.80 : 684,308.70 = 123,781.80 : x
  2. Step 2: Convert to fraction form
    456,205.80/684,308.70 = 123,781.80/x
  3. Step 3: Cross multiply
    456,205.80x = 684,308.70 × 123,781.80
  4. Step 4: Simplify right side
    456,205.80x = 84,704,962,641.66
  5. Step 5: Solve for x
    x = 84,704,962,641.66/456,205.80
  6. Step 6: Final answer
    x = 185,672.70

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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.