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Finding the Fourth Proportional to 205,285.53, 307,936.80 and 70,442.30

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Solution

The fourth proportional to 205,285.53, 307,936.80 and 70,442.30 is: 105,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,285.53 : 307,936.80 = 70,442.30 : x
  2. Step 2: Convert to fraction form
    205,285.53/307,936.80 = 70,442.30/x
  3. Step 3: Cross multiply
    205,285.53x = 307,936.80 × 70,442.30
  4. Step 4: Simplify right side
    205,285.53x = 21,691,776,446.64
  5. Step 5: Solve for x
    x = 21,691,776,446.64/205,285.53
  6. Step 6: Final answer
    x = 105,666.37

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1.5x scale

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.