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Finding the Fourth Proportional to 228,470.20, 342,705.30 and 212,918.20

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Solution

The fourth proportional to 228,470.20, 342,705.30 and 212,918.20 is: 319,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,470.20 : 342,705.30 = 212,918.20 : x
  2. Step 2: Convert to fraction form
    228,470.20/342,705.30 = 212,918.20/x
  3. Step 3: Cross multiply
    228,470.20x = 342,705.30 × 212,918.20
  4. Step 4: Simplify right side
    228,470.20x = 72,968,195,606.46
  5. Step 5: Solve for x
    x = 72,968,195,606.46/228,470.20
  6. Step 6: Final answer
    x = 319,377.30

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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.