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Finding the Fourth Proportional to 905,880.90, 1,249,978.68 and 498,000

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Solution

The fourth proportional to 905,880.90, 1,249,978.68 and 498,000 is: 687,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,880.90 : 1,249,978.68 = 498,000 : x
  2. Step 2: Convert to fraction form
    905,880.90/1,249,978.68 = 498,000/x
  3. Step 3: Cross multiply
    905,880.90x = 1,249,978.68 × 498,000
  4. Step 4: Simplify right side
    905,880.90x = 622,489,382,640
  5. Step 5: Solve for x
    x = 622,489,382,640/905,880.90
  6. Step 6: Final answer
    x = 687,164.71

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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.