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Finding the Fourth Proportional to 369,186.38, 509,477.40 and 199,420.50

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Solution

The fourth proportional to 369,186.38, 509,477.40 and 199,420.50 is: 275,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,186.38 : 509,477.40 = 199,420.50 : x
  2. Step 2: Convert to fraction form
    369,186.38/509,477.40 = 199,420.50/x
  3. Step 3: Cross multiply
    369,186.38x = 509,477.40 × 199,420.50
  4. Step 4: Simplify right side
    369,186.38x = 101,600,237,846.70
  5. Step 5: Solve for x
    x = 101,600,237,846.70/369,186.38
  6. Step 6: Final answer
    x = 275,200.40

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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.