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Finding the Fourth Proportional to 442,739.84, 663,715.28 and 162,191.48

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Solution

The fourth proportional to 442,739.84, 663,715.28 and 162,191.48 is: 243,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,739.84 : 663,715.28 = 162,191.48 : x
  2. Step 2: Convert to fraction form
    442,739.84/663,715.28 = 162,191.48/x
  3. Step 3: Cross multiply
    442,739.84x = 663,715.28 × 162,191.48
  4. Step 4: Simplify right side
    442,739.84x = 107,648,963,561.81
  5. Step 5: Solve for x
    x = 107,648,963,561.81/442,739.84
  6. Step 6: Final answer
    x = 243,142.71

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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.