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Finding the Fourth Proportional to 380,424.92, 524,979.90 and 210,655.40

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Solution

The fourth proportional to 380,424.92, 524,979.90 and 210,655.40 is: 290,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,424.92 : 524,979.90 = 210,655.40 : x
  2. Step 2: Convert to fraction form
    380,424.92/524,979.90 = 210,655.40/x
  3. Step 3: Cross multiply
    380,424.92x = 524,979.90 × 210,655.40
  4. Step 4: Simplify right side
    380,424.92x = 110,589,848,201.56
  5. Step 5: Solve for x
    x = 110,589,848,201.56/380,424.92
  6. Step 6: Final answer
    x = 290,700.86

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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.