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Finding the Fourth Proportional to 228,603.72, 315,509.28 and 137,972.64

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Solution

The fourth proportional to 228,603.72, 315,509.28 and 137,972.64 is: 190,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,603.72 : 315,509.28 = 137,972.64 : x
  2. Step 2: Convert to fraction form
    228,603.72/315,509.28 = 137,972.64/x
  3. Step 3: Cross multiply
    228,603.72x = 315,509.28 × 137,972.64
  4. Step 4: Simplify right side
    228,603.72x = 43,531,648,306.10
  5. Step 5: Solve for x
    x = 43,531,648,306.10/228,603.72
  6. Step 6: Final answer
    x = 190,424.06

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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.