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Finding the Fourth Proportional to 443,602, 665,593.68 and 144,174.40

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Solution

The fourth proportional to 443,602, 665,593.68 and 144,174.40 is: 216,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,602 : 665,593.68 = 144,174.40 : x
  2. Step 2: Convert to fraction form
    443,602/665,593.68 = 144,174.40/x
  3. Step 3: Cross multiply
    443,602x = 665,593.68 × 144,174.40
  4. Step 4: Simplify right side
    443,602x = 95,961,569,457.79
  5. Step 5: Solve for x
    x = 95,961,569,457.79/443,602
  6. Step 6: Final answer
    x = 216,323.57

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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.