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Finding the Fourth Proportional to 518,735.76, 715,913.28 and 304,057.41

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Solution

The fourth proportional to 518,735.76, 715,913.28 and 304,057.41 is: 419,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,735.76 : 715,913.28 = 304,057.41 : x
  2. Step 2: Convert to fraction form
    518,735.76/715,913.28 = 304,057.41/x
  3. Step 3: Cross multiply
    518,735.76x = 715,913.28 × 304,057.41
  4. Step 4: Simplify right side
    518,735.76x = 217,678,737,701.41
  5. Step 5: Solve for x
    x = 217,678,737,701.41/518,735.76
  6. Step 6: Final answer
    x = 419,633.18

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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.