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Finding the Fourth Proportional to 421,644.60, 582,150.24 and 249,618.06

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Solution

The fourth proportional to 421,644.60, 582,150.24 and 249,618.06 is: 344,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,644.60 : 582,150.24 = 249,618.06 : x
  2. Step 2: Convert to fraction form
    421,644.60/582,150.24 = 249,618.06/x
  3. Step 3: Cross multiply
    421,644.60x = 582,150.24 × 249,618.06
  4. Step 4: Simplify right side
    421,644.60x = 145,315,213,537.33
  5. Step 5: Solve for x
    x = 145,315,213,537.33/421,644.60
  6. Step 6: Final answer
    x = 344,639.10

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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.