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Finding the Fourth Proportional to 385,740.21, 578,330.05 and 161,164.86

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Solution

The fourth proportional to 385,740.21, 578,330.05 and 161,164.86 is: 241,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,740.21 : 578,330.05 = 161,164.86 : x
  2. Step 2: Convert to fraction form
    385,740.21/578,330.05 = 161,164.86/x
  3. Step 3: Cross multiply
    385,740.21x = 578,330.05 × 161,164.86
  4. Step 4: Simplify right side
    385,740.21x = 93,206,481,542.04
  5. Step 5: Solve for x
    x = 93,206,481,542.04/385,740.21
  6. Step 6: Final answer
    x = 241,630.19

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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.