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Finding the Fourth Proportional to 345,469.70, 517,034.10 and 212,434.22

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Solution

The fourth proportional to 345,469.70, 517,034.10 and 212,434.22 is: 317,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,469.70 : 517,034.10 = 212,434.22 : x
  2. Step 2: Convert to fraction form
    345,469.70/517,034.10 = 212,434.22/x
  3. Step 3: Cross multiply
    345,469.70x = 517,034.10 × 212,434.22
  4. Step 4: Simplify right side
    345,469.70x = 109,835,735,746.90
  5. Step 5: Solve for x
    x = 109,835,735,746.90/345,469.70
  6. Step 6: Final answer
    x = 317,931.60

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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.