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Finding the Fourth Proportional to 369,477.14, 509,878.16 and 199,711.28

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Solution

The fourth proportional to 369,477.14, 509,878.16 and 199,711.28 is: 275,601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,477.14 : 509,878.16 = 199,711.28 : x
  2. Step 2: Convert to fraction form
    369,477.14/509,878.16 = 199,711.28/x
  3. Step 3: Cross multiply
    369,477.14x = 509,878.16 × 199,711.28
  4. Step 4: Simplify right side
    369,477.14x = 101,828,419,977.65
  5. Step 5: Solve for x
    x = 101,828,419,977.65/369,477.14
  6. Step 6: Final answer
    x = 275,601.41

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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.