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Finding the Fourth Proportional to 228,792, 315,752.40 and 128,209.44

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Solution

The fourth proportional to 228,792, 315,752.40 and 128,209.44 is: 176,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,792 : 315,752.40 = 128,209.44 : x
  2. Step 2: Convert to fraction form
    228,792/315,752.40 = 128,209.44/x
  3. Step 3: Cross multiply
    228,792x = 315,752.40 × 128,209.44
  4. Step 4: Simplify right side
    228,792x = 40,482,438,382.66
  5. Step 5: Solve for x
    x = 40,482,438,382.66/228,792
  6. Step 6: Final answer
    x = 176,939.92

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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.