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Finding the Fourth Proportional to 512,740.98, 707,578.53 and 298,006.74

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Solution

The fourth proportional to 512,740.98, 707,578.53 and 298,006.74 is: 411,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,740.98 : 707,578.53 = 298,006.74 : x
  2. Step 2: Convert to fraction form
    512,740.98/707,578.53 = 298,006.74/x
  3. Step 3: Cross multiply
    512,740.98x = 707,578.53 × 298,006.74
  4. Step 4: Simplify right side
    512,740.98x = 210,863,171,019.29
  5. Step 5: Solve for x
    x = 210,863,171,019.29/512,740.98
  6. Step 6: Final answer
    x = 411,246.96

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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.