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Finding the Fourth Proportional to 228,497.76, 315,297.36 and 127,895.76

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Solution

The fourth proportional to 228,497.76, 315,297.36 and 127,895.76 is: 176,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,497.76 : 315,297.36 = 127,895.76 : x
  2. Step 2: Convert to fraction form
    228,497.76/315,297.36 = 127,895.76/x
  3. Step 3: Cross multiply
    228,497.76x = 315,297.36 × 127,895.76
  4. Step 4: Simplify right side
    228,497.76x = 40,325,195,483.19
  5. Step 5: Solve for x
    x = 40,325,195,483.19/228,497.76
  6. Step 6: Final answer
    x = 176,479.61

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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.