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Finding the Fourth Proportional to 428,293.86, 642,191.71 and 162,074.90

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Solution

The fourth proportional to 428,293.86, 642,191.71 and 162,074.90 is: 243,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,293.86 : 642,191.71 = 162,074.90 : x
  2. Step 2: Convert to fraction form
    428,293.86/642,191.71 = 162,074.90/x
  3. Step 3: Cross multiply
    428,293.86x = 642,191.71 × 162,074.90
  4. Step 4: Simplify right side
    428,293.86x = 104,083,157,179.08
  5. Step 5: Solve for x
    x = 104,083,157,179.08/428,293.86
  6. Step 6: Final answer
    x = 243,018.09

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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.