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Finding the Fourth Proportional to 262,010, 393,015 and 65,018

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Solution

The fourth proportional to 262,010, 393,015 and 65,018 is: 97,527

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,010 : 393,015 = 65,018 : x
  2. Step 2: Convert to fraction form
    262,010/393,015 = 65,018/x
  3. Step 3: Cross multiply
    262,010x = 393,015 × 65,018
  4. Step 4: Simplify right side
    262,010x = 25,553,049,270
  5. Step 5: Solve for x
    x = 25,553,049,270/262,010
  6. Step 6: Final answer
    x = 97,527

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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.