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Finding the Fourth Proportional to 385,391.41, 578,142.24 and 119,172.45

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Solution

The fourth proportional to 385,391.41, 578,142.24 and 119,172.45 is: 178,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,391.41 : 578,142.24 = 119,172.45 : x
  2. Step 2: Convert to fraction form
    385,391.41/578,142.24 = 119,172.45/x
  3. Step 3: Cross multiply
    385,391.41x = 578,142.24 × 119,172.45
  4. Step 4: Simplify right side
    385,391.41x = 68,898,627,189.29
  5. Step 5: Solve for x
    x = 68,898,627,189.29/385,391.41
  6. Step 6: Final answer
    x = 178,775.72

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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.