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Finding the Fourth Proportional to 210,325.20, 315,487.80 and 206,869.20

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Solution

The fourth proportional to 210,325.20, 315,487.80 and 206,869.20 is: 310,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,325.20 : 315,487.80 = 206,869.20 : x
  2. Step 2: Convert to fraction form
    210,325.20/315,487.80 = 206,869.20/x
  3. Step 3: Cross multiply
    210,325.20x = 315,487.80 × 206,869.20
  4. Step 4: Simplify right side
    210,325.20x = 65,264,708,795.76
  5. Step 5: Solve for x
    x = 65,264,708,795.76/210,325.20
  6. Step 6: Final answer
    x = 310,303.80

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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.