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Finding the Fourth Proportional to 427,041.36, 640,588.41 and 142,757.46

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Solution

The fourth proportional to 427,041.36, 640,588.41 and 142,757.46 is: 214,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,041.36 : 640,588.41 = 142,757.46 : x
  2. Step 2: Convert to fraction form
    427,041.36/640,588.41 = 142,757.46/x
  3. Step 3: Cross multiply
    427,041.36x = 640,588.41 × 142,757.46
  4. Step 4: Simplify right side
    427,041.36x = 91,448,774,317.04
  5. Step 5: Solve for x
    x = 91,448,774,317.04/427,041.36
  6. Step 6: Final answer
    x = 214,145.01

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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.