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Finding the Fourth Proportional to 369,379.31, 509,743.40 and 208,234.35

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Solution

The fourth proportional to 369,379.31, 509,743.40 and 208,234.35 is: 287,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,379.31 : 509,743.40 = 208,234.35 : x
  2. Step 2: Convert to fraction form
    369,379.31/509,743.40 = 208,234.35/x
  3. Step 3: Cross multiply
    369,379.31x = 509,743.40 × 208,234.35
  4. Step 4: Simplify right side
    369,379.31x = 106,146,084,524.62
  5. Step 5: Solve for x
    x = 106,146,084,524.62/369,379.31
  6. Step 6: Final answer
    x = 287,363.38

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1.5x scale

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.