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Finding the Fourth Proportional to 296,974.80, 445,564.20 and 86,643.60

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Solution

The fourth proportional to 296,974.80, 445,564.20 and 86,643.60 is: 129,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,974.80 : 445,564.20 = 86,643.60 : x
  2. Step 2: Convert to fraction form
    296,974.80/445,564.20 = 86,643.60/x
  3. Step 3: Cross multiply
    296,974.80x = 445,564.20 × 86,643.60
  4. Step 4: Simplify right side
    296,974.80x = 38,605,286,319.12
  5. Step 5: Solve for x
    x = 38,605,286,319.12/296,974.80
  6. Step 6: Final answer
    x = 129,995.16

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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.