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Finding the Fourth Proportional to 642,462.86, 963,606.81 and 169,108.58

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Solution

The fourth proportional to 642,462.86, 963,606.81 and 169,108.58 is: 253,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,462.86 : 963,606.81 = 169,108.58 : x
  2. Step 2: Convert to fraction form
    642,462.86/963,606.81 = 169,108.58/x
  3. Step 3: Cross multiply
    642,462.86x = 963,606.81 × 169,108.58
  4. Step 4: Simplify right side
    642,462.86x = 162,954,179,317.43
  5. Step 5: Solve for x
    x = 162,954,179,317.43/642,462.86
  6. Step 6: Final answer
    x = 253,639.84

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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.