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Finding the Fourth Proportional to 354,430.32, 489,126.06 and 201,474.90

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Solution

The fourth proportional to 354,430.32, 489,126.06 and 201,474.90 is: 278,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,430.32 : 489,126.06 = 201,474.90 : x
  2. Step 2: Convert to fraction form
    354,430.32/489,126.06 = 201,474.90/x
  3. Step 3: Cross multiply
    354,430.32x = 489,126.06 × 201,474.90
  4. Step 4: Simplify right side
    354,430.32x = 98,546,624,025.89
  5. Step 5: Solve for x
    x = 98,546,624,025.89/354,430.32
  6. Step 6: Final answer
    x = 278,042.31

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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.