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Finding the Fourth Proportional to 340,771.50, 511,222.86 and 153,783

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Solution

The fourth proportional to 340,771.50, 511,222.86 and 153,783 is: 230,704.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,771.50 : 511,222.86 = 153,783 : x
  2. Step 2: Convert to fraction form
    340,771.50/511,222.86 = 153,783/x
  3. Step 3: Cross multiply
    340,771.50x = 511,222.86 × 153,783
  4. Step 4: Simplify right side
    340,771.50x = 78,617,385,079.38
  5. Step 5: Solve for x
    x = 78,617,385,079.38/340,771.50
  6. Step 6: Final answer
    x = 230,704.11

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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.