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Finding the Fourth Proportional to 286,512.31, 429,177.84 and 167,823.82

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Solution

The fourth proportional to 286,512.31, 429,177.84 and 167,823.82 is: 251,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,512.31 : 429,177.84 = 167,823.82 : x
  2. Step 2: Convert to fraction form
    286,512.31/429,177.84 = 167,823.82/x
  3. Step 3: Cross multiply
    286,512.31x = 429,177.84 × 167,823.82
  4. Step 4: Simplify right side
    286,512.31x = 72,026,264,568.15
  5. Step 5: Solve for x
    x = 72,026,264,568.15/286,512.31
  6. Step 6: Final answer
    x = 251,389.77

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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.