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Finding the Fourth Proportional to 511,904.90, 768,440.55 and 301,661.30

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Solution

The fourth proportional to 511,904.90, 768,440.55 and 301,661.30 is: 452,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,904.90 : 768,440.55 = 301,661.30 : x
  2. Step 2: Convert to fraction form
    511,904.90/768,440.55 = 301,661.30/x
  3. Step 3: Cross multiply
    511,904.90x = 768,440.55 × 301,661.30
  4. Step 4: Simplify right side
    511,904.90x = 231,808,775,285.72
  5. Step 5: Solve for x
    x = 231,808,775,285.72/511,904.90
  6. Step 6: Final answer
    x = 452,835.62

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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.