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Finding the Fourth Proportional to 255,447.58, 382,486.13 and 142,807

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Solution

The fourth proportional to 255,447.58, 382,486.13 and 142,807 is: 213,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,447.58 : 382,486.13 = 142,807 : x
  2. Step 2: Convert to fraction form
    255,447.58/382,486.13 = 142,807/x
  3. Step 3: Cross multiply
    255,447.58x = 382,486.13 × 142,807
  4. Step 4: Simplify right side
    255,447.58x = 54,621,696,766.91
  5. Step 5: Solve for x
    x = 54,621,696,766.91/255,447.58
  6. Step 6: Final answer
    x = 213,827.42

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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.