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Finding the Fourth Proportional to 540,420.22, 810,506.94 and 203,496.40

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Solution

The fourth proportional to 540,420.22, 810,506.94 and 203,496.40 is: 305,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,420.22 : 810,506.94 = 203,496.40 : x
  2. Step 2: Convert to fraction form
    540,420.22/810,506.94 = 203,496.40/x
  3. Step 3: Cross multiply
    540,420.22x = 810,506.94 × 203,496.40
  4. Step 4: Simplify right side
    540,420.22x = 164,935,244,465.02
  5. Step 5: Solve for x
    x = 164,935,244,465.02/540,420.22
  6. Step 6: Final answer
    x = 305,198.14

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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.