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Finding the Fourth Proportional to 850,358, 1,275,595.32 and 281,738

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Solution

The fourth proportional to 850,358, 1,275,595.32 and 281,738 is: 422,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,358 : 1,275,595.32 = 281,738 : x
  2. Step 2: Convert to fraction form
    850,358/1,275,595.32 = 281,738/x
  3. Step 3: Cross multiply
    850,358x = 1,275,595.32 × 281,738
  4. Step 4: Simplify right side
    850,358x = 359,383,674,266.16
  5. Step 5: Solve for x
    x = 359,383,674,266.16/850,358
  6. Step 6: Final answer
    x = 422,626.32

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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.