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Finding the Fourth Proportional to 617,796.90, 925,711.20 and 458,364.60

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Solution

The fourth proportional to 617,796.90, 925,711.20 and 458,364.60 is: 686,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,796.90 : 925,711.20 = 458,364.60 : x
  2. Step 2: Convert to fraction form
    617,796.90/925,711.20 = 458,364.60/x
  3. Step 3: Cross multiply
    617,796.90x = 925,711.20 × 458,364.60
  4. Step 4: Simplify right side
    617,796.90x = 424,313,243,903.52
  5. Step 5: Solve for x
    x = 424,313,243,903.52/617,796.90
  6. Step 6: Final answer
    x = 686,816.73

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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.