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Finding the Fourth Proportional to 402,282.40, 603,245.40 and 135,970.60

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Solution

The fourth proportional to 402,282.40, 603,245.40 and 135,970.60 is: 203,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,282.40 : 603,245.40 = 135,970.60 : x
  2. Step 2: Convert to fraction form
    402,282.40/603,245.40 = 135,970.60/x
  3. Step 3: Cross multiply
    402,282.40x = 603,245.40 × 135,970.60
  4. Step 4: Simplify right side
    402,282.40x = 82,023,638,985.24
  5. Step 5: Solve for x
    x = 82,023,638,985.24/402,282.40
  6. Step 6: Final answer
    x = 203,895.67

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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.