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Finding the Fourth Proportional to 427,353.28, 640,854.96 and 190,534

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Solution

The fourth proportional to 427,353.28, 640,854.96 and 190,534 is: 285,722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,353.28 : 640,854.96 = 190,534 : x
  2. Step 2: Convert to fraction form
    427,353.28/640,854.96 = 190,534/x
  3. Step 3: Cross multiply
    427,353.28x = 640,854.96 × 190,534
  4. Step 4: Simplify right side
    427,353.28x = 122,104,658,948.64
  5. Step 5: Solve for x
    x = 122,104,658,948.64/427,353.28
  6. Step 6: Final answer
    x = 285,722.99

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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.