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Finding the Fourth Proportional to 850,366, 1,275,607.32 and 281,746

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Solution

The fourth proportional to 850,366, 1,275,607.32 and 281,746 is: 422,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,366 : 1,275,607.32 = 281,746 : x
  2. Step 2: Convert to fraction form
    850,366/1,275,607.32 = 281,746/x
  3. Step 3: Cross multiply
    850,366x = 1,275,607.32 × 281,746
  4. Step 4: Simplify right side
    850,366x = 359,397,259,980.72
  5. Step 5: Solve for x
    x = 359,397,259,980.72/850,366
  6. Step 6: Final answer
    x = 422,638.32

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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.