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Finding the Fourth Proportional to 408,419.40, 612,629.10 and 390,048.60

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Solution

The fourth proportional to 408,419.40, 612,629.10 and 390,048.60 is: 585,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,419.40 : 612,629.10 = 390,048.60 : x
  2. Step 2: Convert to fraction form
    408,419.40/612,629.10 = 390,048.60/x
  3. Step 3: Cross multiply
    408,419.40x = 612,629.10 × 390,048.60
  4. Step 4: Simplify right side
    408,419.40x = 238,955,122,774.26
  5. Step 5: Solve for x
    x = 238,955,122,774.26/408,419.40
  6. Step 6: Final answer
    x = 585,072.90

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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.