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Finding the Fourth Proportional to 442,978.20, 664,467.30 and 390,490.20

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Solution

The fourth proportional to 442,978.20, 664,467.30 and 390,490.20 is: 585,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,978.20 : 664,467.30 = 390,490.20 : x
  2. Step 2: Convert to fraction form
    442,978.20/664,467.30 = 390,490.20/x
  3. Step 3: Cross multiply
    442,978.20x = 664,467.30 × 390,490.20
  4. Step 4: Simplify right side
    442,978.20x = 259,467,968,870.46
  5. Step 5: Solve for x
    x = 259,467,968,870.46/442,978.20
  6. Step 6: Final answer
    x = 585,735.30

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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.