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Finding the Fourth Proportional to 261,364.90, 360,803.09 and 200,914.40

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Solution

The fourth proportional to 261,364.90, 360,803.09 and 200,914.40 is: 277,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,364.90 : 360,803.09 = 200,914.40 : x
  2. Step 2: Convert to fraction form
    261,364.90/360,803.09 = 200,914.40/x
  3. Step 3: Cross multiply
    261,364.90x = 360,803.09 × 200,914.40
  4. Step 4: Simplify right side
    261,364.90x = 72,490,536,345.50
  5. Step 5: Solve for x
    x = 72,490,536,345.50/261,364.90
  6. Step 6: Final answer
    x = 277,353.75

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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.