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Finding the Fourth Proportional to 369,554.92, 509,985.66 and 199,789

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Solution

The fourth proportional to 369,554.92, 509,985.66 and 199,789 is: 275,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,554.92 : 509,985.66 = 199,789 : x
  2. Step 2: Convert to fraction form
    369,554.92/509,985.66 = 199,789/x
  3. Step 3: Cross multiply
    369,554.92x = 509,985.66 × 199,789
  4. Step 4: Simplify right side
    369,554.92x = 101,889,525,025.74
  5. Step 5: Solve for x
    x = 101,889,525,025.74/369,554.92
  6. Step 6: Final answer
    x = 275,708.75

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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.