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Finding the Fourth Proportional to 201,420,288.80, 302,130,433.20 and 65,203,431.20

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Solution

The fourth proportional to 201,420,288.80, 302,130,433.20 and 65,203,431.20 is: 97,805,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,420,288.80 : 302,130,433.20 = 65,203,431.20 : x
  2. Step 2: Convert to fraction form
    201,420,288.80/302,130,433.20 = 65,203,431.20/x
  3. Step 3: Cross multiply
    201,420,288.80x = 302,130,433.20 × 65,203,431.20
  4. Step 4: Simplify right side
    201,420,288.80x = 19,699,940,914,582,396
  5. Step 5: Solve for x
    x = 19,699,940,914,582,396/201,420,288.80
  6. Step 6: Final answer
    x = 97,805,146.80

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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.