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Finding the Fourth Proportional to 442,859.40, 664,289.10 and 354,285.90

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Solution

The fourth proportional to 442,859.40, 664,289.10 and 354,285.90 is: 531,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,859.40 : 664,289.10 = 354,285.90 : x
  2. Step 2: Convert to fraction form
    442,859.40/664,289.10 = 354,285.90/x
  3. Step 3: Cross multiply
    442,859.40x = 664,289.10 × 354,285.90
  4. Step 4: Simplify right side
    442,859.40x = 235,348,261,653.69
  5. Step 5: Solve for x
    x = 235,348,261,653.69/442,859.40
  6. Step 6: Final answer
    x = 531,428.85

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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.