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Finding the Fourth Proportional to 305,665.47, 457,901.74 and 200,164.59

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Solution

The fourth proportional to 305,665.47, 457,901.74 and 200,164.59 is: 299,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,665.47 : 457,901.74 = 200,164.59 : x
  2. Step 2: Convert to fraction form
    305,665.47/457,901.74 = 200,164.59/x
  3. Step 3: Cross multiply
    305,665.47x = 457,901.74 × 200,164.59
  4. Step 4: Simplify right side
    305,665.47x = 91,655,714,047.39
  5. Step 5: Solve for x
    x = 91,655,714,047.39/305,665.47
  6. Step 6: Final answer
    x = 299,856.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.