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Finding the Fourth Proportional to 350,478.40, 525,847.20 and 140,267.20

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Solution

The fourth proportional to 350,478.40, 525,847.20 and 140,267.20 is: 210,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,478.40 : 525,847.20 = 140,267.20 : x
  2. Step 2: Convert to fraction form
    350,478.40/525,847.20 = 140,267.20/x
  3. Step 3: Cross multiply
    350,478.40x = 525,847.20 × 140,267.20
  4. Step 4: Simplify right side
    350,478.40x = 73,759,114,371.84
  5. Step 5: Solve for x
    x = 73,759,114,371.84/350,478.40
  6. Step 6: Final answer
    x = 210,452.67

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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.