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Finding the Fourth Proportional to 330,427.20, 495,640.80 and 313,368.60

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Solution

The fourth proportional to 330,427.20, 495,640.80 and 313,368.60 is: 470,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,427.20 : 495,640.80 = 313,368.60 : x
  2. Step 2: Convert to fraction form
    330,427.20/495,640.80 = 313,368.60/x
  3. Step 3: Cross multiply
    330,427.20x = 495,640.80 × 313,368.60
  4. Step 4: Simplify right side
    330,427.20x = 155,318,263,598.88
  5. Step 5: Solve for x
    x = 155,318,263,598.88/330,427.20
  6. Step 6: Final answer
    x = 470,052.90

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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.