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Finding the Fourth Proportional to 385,910.40, 578,836.80 and 161,212.80

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Solution

The fourth proportional to 385,910.40, 578,836.80 and 161,212.80 is: 241,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,910.40 : 578,836.80 = 161,212.80 : x
  2. Step 2: Convert to fraction form
    385,910.40/578,836.80 = 161,212.80/x
  3. Step 3: Cross multiply
    385,910.40x = 578,836.80 × 161,212.80
  4. Step 4: Simplify right side
    385,910.40x = 93,315,901,271.04
  5. Step 5: Solve for x
    x = 93,315,901,271.04/385,910.40
  6. Step 6: Final answer
    x = 241,807.17

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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.