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Finding the Fourth Proportional to 457,489.51, 686,422.69 and 201,190.32

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Solution

The fourth proportional to 457,489.51, 686,422.69 and 201,190.32 is: 301,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,489.51 : 686,422.69 = 201,190.32 : x
  2. Step 2: Convert to fraction form
    457,489.51/686,422.69 = 201,190.32/x
  3. Step 3: Cross multiply
    457,489.51x = 686,422.69 × 201,190.32
  4. Step 4: Simplify right side
    457,489.51x = 138,101,600,656.36
  5. Step 5: Solve for x
    x = 138,101,600,656.36/457,489.51
  6. Step 6: Final answer
    x = 301,868.34

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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.