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Finding the Fourth Proportional to 645,230.98, 890,441.62 and 354,865

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Solution

The fourth proportional to 645,230.98, 890,441.62 and 354,865 is: 489,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,230.98 : 890,441.62 = 354,865 : x
  2. Step 2: Convert to fraction form
    645,230.98/890,441.62 = 354,865/x
  3. Step 3: Cross multiply
    645,230.98x = 890,441.62 × 354,865
  4. Step 4: Simplify right side
    645,230.98x = 315,986,565,481.30
  5. Step 5: Solve for x
    x = 315,986,565,481.30/645,230.98
  6. Step 6: Final answer
    x = 489,726.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.