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Finding the Fourth Proportional to 434,570.90, 651,856.35 and 275,138.60

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Solution

The fourth proportional to 434,570.90, 651,856.35 and 275,138.60 is: 412,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,570.90 : 651,856.35 = 275,138.60 : x
  2. Step 2: Convert to fraction form
    434,570.90/651,856.35 = 275,138.60/x
  3. Step 3: Cross multiply
    434,570.90x = 651,856.35 × 275,138.60
  4. Step 4: Simplify right side
    434,570.90x = 179,350,843,540.11
  5. Step 5: Solve for x
    x = 179,350,843,540.11/434,570.90
  6. Step 6: Final answer
    x = 412,707.90

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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.