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Finding the Fourth Proportional to 312,793, 432,010.80 and 212,016.04

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Solution

The fourth proportional to 312,793, 432,010.80 and 212,016.04 is: 292,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,793 : 432,010.80 = 212,016.04 : x
  2. Step 2: Convert to fraction form
    312,793/432,010.80 = 212,016.04/x
  3. Step 3: Cross multiply
    312,793x = 432,010.80 × 212,016.04
  4. Step 4: Simplify right side
    312,793x = 91,593,219,053.23
  5. Step 5: Solve for x
    x = 91,593,219,053.23/312,793
  6. Step 6: Final answer
    x = 292,823.75

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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.