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Finding the Fourth Proportional to 369,186.50, 509,477.57 and 199,420.63

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Solution

The fourth proportional to 369,186.50, 509,477.57 and 199,420.63 is: 275,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,186.50 : 509,477.57 = 199,420.63 : x
  2. Step 2: Convert to fraction form
    369,186.50/509,477.57 = 199,420.63/x
  3. Step 3: Cross multiply
    369,186.50x = 509,477.57 × 199,420.63
  4. Step 4: Simplify right side
    369,186.50x = 101,600,337,980.27
  5. Step 5: Solve for x
    x = 101,600,337,980.27/369,186.50
  6. Step 6: Final answer
    x = 275,200.58

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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.