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Finding the Fourth Proportional to 308,815.40, 463,223.10 and 303,566.60

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Solution

The fourth proportional to 308,815.40, 463,223.10 and 303,566.60 is: 455,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,815.40 : 463,223.10 = 303,566.60 : x
  2. Step 2: Convert to fraction form
    308,815.40/463,223.10 = 303,566.60/x
  3. Step 3: Cross multiply
    308,815.40x = 463,223.10 × 303,566.60
  4. Step 4: Simplify right side
    308,815.40x = 140,619,061,508.46
  5. Step 5: Solve for x
    x = 140,619,061,508.46/308,815.40
  6. Step 6: Final answer
    x = 455,349.90

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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.