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Finding the Fourth Proportional to 520,917.30, 780,147.15 and 321,851.70

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Solution

The fourth proportional to 520,917.30, 780,147.15 and 321,851.70 is: 482,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,917.30 : 780,147.15 = 321,851.70 : x
  2. Step 2: Convert to fraction form
    520,917.30/780,147.15 = 321,851.70/x
  3. Step 3: Cross multiply
    520,917.30x = 780,147.15 × 321,851.70
  4. Step 4: Simplify right side
    520,917.30x = 251,091,686,477.66
  5. Step 5: Solve for x
    x = 251,091,686,477.66/520,917.30
  6. Step 6: Final answer
    x = 482,018.33

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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.