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Finding the Fourth Proportional to 283,742.90, 424,863.47 and 171,272.78

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Solution

The fourth proportional to 283,742.90, 424,863.47 and 171,272.78 is: 256,455.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,742.90 : 424,863.47 = 171,272.78 : x
  2. Step 2: Convert to fraction form
    283,742.90/424,863.47 = 171,272.78/x
  3. Step 3: Cross multiply
    283,742.90x = 424,863.47 × 171,272.78
  4. Step 4: Simplify right side
    283,742.90x = 72,767,544,646.67
  5. Step 5: Solve for x
    x = 72,767,544,646.67/283,742.90
  6. Step 6: Final answer
    x = 256,455.92

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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.