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Finding the Fourth Proportional to 369,711.32, 510,198.74 and 199,945.45

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Solution

The fourth proportional to 369,711.32, 510,198.74 and 199,945.45 is: 275,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,711.32 : 510,198.74 = 199,945.45 : x
  2. Step 2: Convert to fraction form
    369,711.32/510,198.74 = 199,945.45/x
  3. Step 3: Cross multiply
    369,711.32x = 510,198.74 × 199,945.45
  4. Step 4: Simplify right side
    369,711.32x = 102,011,916,047.91
  5. Step 5: Solve for x
    x = 102,011,916,047.91/369,711.32
  6. Step 6: Final answer
    x = 275,923.16

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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.