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Finding the Fourth Proportional to 402,267.40, 603,222.90 and 135,955.60

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Solution

The fourth proportional to 402,267.40, 603,222.90 and 135,955.60 is: 203,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,267.40 : 603,222.90 = 135,955.60 : x
  2. Step 2: Convert to fraction form
    402,267.40/603,222.90 = 135,955.60/x
  3. Step 3: Cross multiply
    402,267.40x = 603,222.90 × 135,955.60
  4. Step 4: Simplify right side
    402,267.40x = 82,011,531,303.24
  5. Step 5: Solve for x
    x = 82,011,531,303.24/402,267.40
  6. Step 6: Final answer
    x = 203,873.17

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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.