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Finding the Fourth Proportional to 408,389.40, 612,584.10 and 390,018.60

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Solution

The fourth proportional to 408,389.40, 612,584.10 and 390,018.60 is: 585,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,389.40 : 612,584.10 = 390,018.60 : x
  2. Step 2: Convert to fraction form
    408,389.40/612,584.10 = 390,018.60/x
  3. Step 3: Cross multiply
    408,389.40x = 612,584.10 × 390,018.60
  4. Step 4: Simplify right side
    408,389.40x = 238,919,193,064.26
  5. Step 5: Solve for x
    x = 238,919,193,064.26/408,389.40
  6. Step 6: Final answer
    x = 585,027.90

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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.