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Finding the Fourth Proportional to 341,004.28, 511,821.90 and 172,642.90

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Solution

The fourth proportional to 341,004.28, 511,821.90 and 172,642.90 is: 259,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,004.28 : 511,821.90 = 172,642.90 : x
  2. Step 2: Convert to fraction form
    341,004.28/511,821.90 = 172,642.90/x
  3. Step 3: Cross multiply
    341,004.28x = 511,821.90 × 172,642.90
  4. Step 4: Simplify right side
    341,004.28x = 88,362,417,099.51
  5. Step 5: Solve for x
    x = 88,362,417,099.51/341,004.28
  6. Step 6: Final answer
    x = 259,124.07

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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.