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Finding the Fourth Proportional to 408,905.40, 613,358.10 and 390,534.60

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Solution

The fourth proportional to 408,905.40, 613,358.10 and 390,534.60 is: 585,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,905.40 : 613,358.10 = 390,534.60 : x
  2. Step 2: Convert to fraction form
    408,905.40/613,358.10 = 390,534.60/x
  3. Step 3: Cross multiply
    408,905.40x = 613,358.10 × 390,534.60
  4. Step 4: Simplify right side
    408,905.40x = 239,537,560,240.26
  5. Step 5: Solve for x
    x = 239,537,560,240.26/408,905.40
  6. Step 6: Final answer
    x = 585,801.90

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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.