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Finding the Fourth Proportional to 323,437.20, 484,003.80 and 205,165.20

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Solution

The fourth proportional to 323,437.20, 484,003.80 and 205,165.20 is: 307,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,437.20 : 484,003.80 = 205,165.20 : x
  2. Step 2: Convert to fraction form
    323,437.20/484,003.80 = 205,165.20/x
  3. Step 3: Cross multiply
    323,437.20x = 484,003.80 × 205,165.20
  4. Step 4: Simplify right side
    323,437.20x = 99,300,736,427.76
  5. Step 5: Solve for x
    x = 99,300,736,427.76/323,437.20
  6. Step 6: Final answer
    x = 307,017.05

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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.