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Finding the Fourth Proportional to 369,969.53, 510,559.29 and 200,203.65

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Solution

The fourth proportional to 369,969.53, 510,559.29 and 200,203.65 is: 276,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,969.53 : 510,559.29 = 200,203.65 : x
  2. Step 2: Convert to fraction form
    369,969.53/510,559.29 = 200,203.65/x
  3. Step 3: Cross multiply
    369,969.53x = 510,559.29 × 200,203.65
  4. Step 4: Simplify right side
    369,969.53x = 102,215,833,399.41
  5. Step 5: Solve for x
    x = 102,215,833,399.41/369,969.53
  6. Step 6: Final answer
    x = 276,281.77

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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.