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Finding the Fourth Proportional to 369,970.50, 510,559.74 and 200,204.64

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Solution

The fourth proportional to 369,970.50, 510,559.74 and 200,204.64 is: 276,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,970.50 : 510,559.74 = 200,204.64 : x
  2. Step 2: Convert to fraction form
    369,970.50/510,559.74 = 200,204.64/x
  3. Step 3: Cross multiply
    369,970.50x = 510,559.74 × 200,204.64
  4. Step 4: Simplify right side
    369,970.50x = 102,216,428,945.19
  5. Step 5: Solve for x
    x = 102,216,428,945.19/369,970.50
  6. Step 6: Final answer
    x = 276,282.65

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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.