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Finding the Fourth Proportional to 385,911.40, 578,838.30 and 161,213.80

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Solution

The fourth proportional to 385,911.40, 578,838.30 and 161,213.80 is: 241,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,911.40 : 578,838.30 = 161,213.80 : x
  2. Step 2: Convert to fraction form
    385,911.40/578,838.30 = 161,213.80/x
  3. Step 3: Cross multiply
    385,911.40x = 578,838.30 × 161,213.80
  4. Step 4: Simplify right side
    385,911.40x = 93,316,721,928.54
  5. Step 5: Solve for x
    x = 93,316,721,928.54/385,911.40
  6. Step 6: Final answer
    x = 241,808.67

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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.