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Finding the Fourth Proportional to 311,464, 467,254.32 and 145,252

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Solution

The fourth proportional to 311,464, 467,254.32 and 145,252 is: 217,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,464 : 467,254.32 = 145,252 : x
  2. Step 2: Convert to fraction form
    311,464/467,254.32 = 145,252/x
  3. Step 3: Cross multiply
    311,464x = 467,254.32 × 145,252
  4. Step 4: Simplify right side
    311,464x = 67,869,624,488.64
  5. Step 5: Solve for x
    x = 67,869,624,488.64/311,464
  6. Step 6: Final answer
    x = 217,905.20

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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.