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Finding the Fourth Proportional to 255,446.58, 382,484.63 and 142,806

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Solution

The fourth proportional to 255,446.58, 382,484.63 and 142,806 is: 213,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,446.58 : 382,484.63 = 142,806 : x
  2. Step 2: Convert to fraction form
    255,446.58/382,484.63 = 142,806/x
  3. Step 3: Cross multiply
    255,446.58x = 382,484.63 × 142,806
  4. Step 4: Simplify right side
    255,446.58x = 54,621,100,071.78
  5. Step 5: Solve for x
    x = 54,621,100,071.78/255,446.58
  6. Step 6: Final answer
    x = 213,825.92

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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.