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Finding the Fourth Proportional to 369,222.49, 509,519.98 and 208,074.31

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Solution

The fourth proportional to 369,222.49, 509,519.98 and 208,074.31 is: 287,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,222.49 : 509,519.98 = 208,074.31 : x
  2. Step 2: Convert to fraction form
    369,222.49/509,519.98 = 208,074.31/x
  3. Step 3: Cross multiply
    369,222.49x = 509,519.98 × 208,074.31
  4. Step 4: Simplify right side
    369,222.49x = 106,018,018,269.71
  5. Step 5: Solve for x
    x = 106,018,018,269.71/369,222.49
  6. Step 6: Final answer
    x = 287,138.57

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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.