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Finding the Fourth Proportional to 210,271.20, 315,702 and 200,749.20

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Solution

The fourth proportional to 210,271.20, 315,702 and 200,749.20 is: 301,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,271.20 : 315,702 = 200,749.20 : x
  2. Step 2: Convert to fraction form
    210,271.20/315,702 = 200,749.20/x
  3. Step 3: Cross multiply
    210,271.20x = 315,702 × 200,749.20
  4. Step 4: Simplify right side
    210,271.20x = 63,376,923,938.40
  5. Step 5: Solve for x
    x = 63,376,923,938.40/210,271.20
  6. Step 6: Final answer
    x = 301,405.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.