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Finding the Fourth Proportional to 369,444.49, 509,834.30 and 199,678.62

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Solution

The fourth proportional to 369,444.49, 509,834.30 and 199,678.62 is: 275,556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,444.49 : 509,834.30 = 199,678.62 : x
  2. Step 2: Convert to fraction form
    369,444.49/509,834.30 = 199,678.62/x
  3. Step 3: Cross multiply
    369,444.49x = 509,834.30 × 199,678.62
  4. Step 4: Simplify right side
    369,444.49x = 101,803,008,621.53
  5. Step 5: Solve for x
    x = 101,803,008,621.53/369,444.49
  6. Step 6: Final answer
    x = 275,556.98

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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.