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Finding the Fourth Proportional to 513,835.20, 770,810.40 and 158,846.40

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Solution

The fourth proportional to 513,835.20, 770,810.40 and 158,846.40 is: 238,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,835.20 : 770,810.40 = 158,846.40 : x
  2. Step 2: Convert to fraction form
    513,835.20/770,810.40 = 158,846.40/x
  3. Step 3: Cross multiply
    513,835.20x = 770,810.40 × 158,846.40
  4. Step 4: Simplify right side
    513,835.20x = 122,440,457,122.56
  5. Step 5: Solve for x
    x = 122,440,457,122.56/513,835.20
  6. Step 6: Final answer
    x = 238,287.41

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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.