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Finding the Fourth Proportional to 292,299.30, 437,476.95 and 212,109.30

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Solution

The fourth proportional to 292,299.30, 437,476.95 and 212,109.30 is: 317,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,299.30 : 437,476.95 = 212,109.30 : x
  2. Step 2: Convert to fraction form
    292,299.30/437,476.95 = 212,109.30/x
  3. Step 3: Cross multiply
    292,299.30x = 437,476.95 × 212,109.30
  4. Step 4: Simplify right side
    292,299.30x = 92,792,929,630.64
  5. Step 5: Solve for x
    x = 92,792,929,630.64/292,299.30
  6. Step 6: Final answer
    x = 317,458.61

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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.