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Finding the Fourth Proportional to 369,969.65, 510,557.83 and 200,203.78

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Solution

The fourth proportional to 369,969.65, 510,557.83 and 200,203.78 is: 276,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,969.65 : 510,557.83 = 200,203.78 : x
  2. Step 2: Convert to fraction form
    369,969.65/510,557.83 = 200,203.78/x
  3. Step 3: Cross multiply
    369,969.65x = 510,557.83 × 200,203.78
  4. Step 4: Simplify right side
    369,969.65x = 102,215,607,474.60
  5. Step 5: Solve for x
    x = 102,215,607,474.60/369,969.65
  6. Step 6: Final answer
    x = 276,281.06

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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.