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Finding the Fourth Proportional to 369,969.75, 510,558.71 and 200,203.88

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Solution

The fourth proportional to 369,969.75, 510,558.71 and 200,203.88 is: 276,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,969.75 : 510,558.71 = 200,203.88 : x
  2. Step 2: Convert to fraction form
    369,969.75/510,558.71 = 200,203.88/x
  3. Step 3: Cross multiply
    369,969.75x = 510,558.71 × 200,203.88
  4. Step 4: Simplify right side
    369,969.75x = 102,215,831,155.98
  5. Step 5: Solve for x
    x = 102,215,831,155.98/369,969.75
  6. Step 6: Final answer
    x = 276,281.59

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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.