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Finding the Fourth Proportional to 205,410.74, 308,369.84 and 97,443.35

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Solution

The fourth proportional to 205,410.74, 308,369.84 and 97,443.35 is: 146,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,410.74 : 308,369.84 = 97,443.35 : x
  2. Step 2: Convert to fraction form
    205,410.74/308,369.84 = 97,443.35/x
  3. Step 3: Cross multiply
    205,410.74x = 308,369.84 × 97,443.35
  4. Step 4: Simplify right side
    205,410.74x = 30,048,588,219.50
  5. Step 5: Solve for x
    x = 30,048,588,219.50/205,410.74
  6. Step 6: Final answer
    x = 146,285.38

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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.