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Finding the Fourth Proportional to 400,915.02, 601,245.21 and 130,981.65

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Solution

The fourth proportional to 400,915.02, 601,245.21 and 130,981.65 is: 196,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,915.02 : 601,245.21 = 130,981.65 : x
  2. Step 2: Convert to fraction form
    400,915.02/601,245.21 = 130,981.65/x
  3. Step 3: Cross multiply
    400,915.02x = 601,245.21 × 130,981.65
  4. Step 4: Simplify right side
    400,915.02x = 78,752,089,660.40
  5. Step 5: Solve for x
    x = 78,752,089,660.40/400,915.02
  6. Step 6: Final answer
    x = 196,430.88

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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.