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Finding the Fourth Proportional to 255,457.80, 382,891.05 and 120,607.38

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Solution

The fourth proportional to 255,457.80, 382,891.05 and 120,607.38 is: 180,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,457.80 : 382,891.05 = 120,607.38 : x
  2. Step 2: Convert to fraction form
    255,457.80/382,891.05 = 120,607.38/x
  3. Step 3: Cross multiply
    255,457.80x = 382,891.05 × 120,607.38
  4. Step 4: Simplify right side
    255,457.80x = 46,179,486,365.95
  5. Step 5: Solve for x
    x = 46,179,486,365.95/255,457.80
  6. Step 6: Final answer
    x = 180,771.49

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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.