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Finding the Fourth Proportional to 518,693.31, 777,852.75 and 219,197.02

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Solution

The fourth proportional to 518,693.31, 777,852.75 and 219,197.02 is: 328,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,693.31 : 777,852.75 = 219,197.02 : x
  2. Step 2: Convert to fraction form
    518,693.31/777,852.75 = 219,197.02/x
  3. Step 3: Cross multiply
    518,693.31x = 777,852.75 × 219,197.02
  4. Step 4: Simplify right side
    518,693.31x = 170,503,004,798.81
  5. Step 5: Solve for x
    x = 170,503,004,798.81/518,693.31
  6. Step 6: Final answer
    x = 328,716.41

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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.