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Finding the Fourth Proportional to 518,932.82, 716,111.06 and 304,215.90

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Solution

The fourth proportional to 518,932.82, 716,111.06 and 304,215.90 is: 419,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,932.82 : 716,111.06 = 304,215.90 : x
  2. Step 2: Convert to fraction form
    518,932.82/716,111.06 = 304,215.90/x
  3. Step 3: Cross multiply
    518,932.82x = 716,111.06 × 304,215.90
  4. Step 4: Simplify right side
    518,932.82x = 217,852,370,617.85
  5. Step 5: Solve for x
    x = 217,852,370,617.85/518,932.82
  6. Step 6: Final answer
    x = 419,808.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.