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Finding the Fourth Proportional to 427,232.44, 640,288.14 and 314,384.32

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Solution

The fourth proportional to 427,232.44, 640,288.14 and 314,384.32 is: 471,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,232.44 : 640,288.14 = 314,384.32 : x
  2. Step 2: Convert to fraction form
    427,232.44/640,288.14 = 314,384.32/x
  3. Step 3: Cross multiply
    427,232.44x = 640,288.14 × 314,384.32
  4. Step 4: Simplify right side
    427,232.44x = 201,296,551,497.97
  5. Step 5: Solve for x
    x = 201,296,551,497.97/427,232.44
  6. Step 6: Final answer
    x = 471,164.01

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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.