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Finding the Fourth Proportional to 341,000.28, 511,815.90 and 172,638.90

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Solution

The fourth proportional to 341,000.28, 511,815.90 and 172,638.90 is: 259,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,000.28 : 511,815.90 = 172,638.90 : x
  2. Step 2: Convert to fraction form
    341,000.28/511,815.90 = 172,638.90/x
  3. Step 3: Cross multiply
    341,000.28x = 511,815.90 × 172,638.90
  4. Step 4: Simplify right side
    341,000.28x = 88,359,333,978.51
  5. Step 5: Solve for x
    x = 88,359,333,978.51/341,000.28
  6. Step 6: Final answer
    x = 259,118.07

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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.