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Finding the Fourth Proportional to 228,600, 315,395.10 and 148,089.24

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Solution

The fourth proportional to 228,600, 315,395.10 and 148,089.24 is: 204,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,600 : 315,395.10 = 148,089.24 : x
  2. Step 2: Convert to fraction form
    228,600/315,395.10 = 148,089.24/x
  3. Step 3: Cross multiply
    228,600x = 315,395.10 × 148,089.24
  4. Step 4: Simplify right side
    228,600x = 46,706,620,658.72
  5. Step 5: Solve for x
    x = 46,706,620,658.72/228,600
  6. Step 6: Final answer
    x = 204,315.93

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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.