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Finding the Fourth Proportional to 386,783, 533,769.74 and 217,029.68

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Solution

The fourth proportional to 386,783, 533,769.74 and 217,029.68 is: 299,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,783 : 533,769.74 = 217,029.68 : x
  2. Step 2: Convert to fraction form
    386,783/533,769.74 = 217,029.68/x
  3. Step 3: Cross multiply
    386,783x = 533,769.74 × 217,029.68
  4. Step 4: Simplify right side
    386,783x = 115,843,875,865.88
  5. Step 5: Solve for x
    x = 115,843,875,865.88/386,783
  6. Step 6: Final answer
    x = 299,506.12

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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.