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Finding the Fourth Proportional to 513,822.37, 770,807.41 and 158,864.07

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Solution

The fourth proportional to 513,822.37, 770,807.41 and 158,864.07 is: 238,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,822.37 : 770,807.41 = 158,864.07 : x
  2. Step 2: Convert to fraction form
    513,822.37/770,807.41 = 158,864.07/x
  3. Step 3: Cross multiply
    513,822.37x = 770,807.41 × 158,864.07
  4. Step 4: Simplify right side
    513,822.37x = 122,453,601,544.44
  5. Step 5: Solve for x
    x = 122,453,601,544.44/513,822.37
  6. Step 6: Final answer
    x = 238,318.94

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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.