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Finding the Fourth Proportional to 312,846.25, 432,084.23 and 212,069.29

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Solution

The fourth proportional to 312,846.25, 432,084.23 and 212,069.29 is: 292,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,846.25 : 432,084.23 = 212,069.29 : x
  2. Step 2: Convert to fraction form
    312,846.25/432,084.23 = 212,069.29/x
  3. Step 3: Cross multiply
    312,846.25x = 432,084.23 × 212,069.29
  4. Step 4: Simplify right side
    312,846.25x = 91,631,795,876.30
  5. Step 5: Solve for x
    x = 91,631,795,876.30/312,846.25
  6. Step 6: Final answer
    x = 292,897.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.