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Finding the Fourth Proportional to 312,547.32, 431,227.80 and 196,273.32

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Solution

The fourth proportional to 312,547.32, 431,227.80 and 196,273.32 is: 270,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,547.32 : 431,227.80 = 196,273.32 : x
  2. Step 2: Convert to fraction form
    312,547.32/431,227.80 = 196,273.32/x
  3. Step 3: Cross multiply
    312,547.32x = 431,227.80 × 196,273.32
  4. Step 4: Simplify right side
    312,547.32x = 84,638,511,982.30
  5. Step 5: Solve for x
    x = 84,638,511,982.30/312,547.32
  6. Step 6: Final answer
    x = 270,802.23

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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.