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Finding the Fourth Proportional to 386,959.68, 533,975.06 and 217,161

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Solution

The fourth proportional to 386,959.68, 533,975.06 and 217,161 is: 299,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,959.68 : 533,975.06 = 217,161 : x
  2. Step 2: Convert to fraction form
    386,959.68/533,975.06 = 217,161/x
  3. Step 3: Cross multiply
    386,959.68x = 533,975.06 × 217,161
  4. Step 4: Simplify right side
    386,959.68x = 115,958,558,547.56
  5. Step 5: Solve for x
    x = 115,958,558,547.56/386,959.68
  6. Step 6: Final answer
    x = 299,665.74

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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.