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Finding the Fourth Proportional to 301,603.10, 416,215.13 and 165,639.87

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Solution

The fourth proportional to 301,603.10, 416,215.13 and 165,639.87 is: 228,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,603.10 : 416,215.13 = 165,639.87 : x
  2. Step 2: Convert to fraction form
    301,603.10/416,215.13 = 165,639.87/x
  3. Step 3: Cross multiply
    301,603.10x = 416,215.13 × 165,639.87
  4. Step 4: Simplify right side
    301,603.10x = 68,941,819,197.03
  5. Step 5: Solve for x
    x = 68,941,819,197.03/301,603.10
  6. Step 6: Final answer
    x = 228,584.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.