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Finding the Fourth Proportional to 498,735.52, 688,259.41 and 283,889.41

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Solution

The fourth proportional to 498,735.52, 688,259.41 and 283,889.41 is: 391,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,735.52 : 688,259.41 = 283,889.41 : x
  2. Step 2: Convert to fraction form
    498,735.52/688,259.41 = 283,889.41/x
  3. Step 3: Cross multiply
    498,735.52x = 688,259.41 × 283,889.41
  4. Step 4: Simplify right side
    498,735.52x = 195,389,557,831.85
  5. Step 5: Solve for x
    x = 195,389,557,831.85/498,735.52
  6. Step 6: Final answer
    x = 391,769.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.