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Finding the Fourth Proportional to 277,295.15, 382,667.30 and 149,970.74

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Solution

The fourth proportional to 277,295.15, 382,667.30 and 149,970.74 is: 206,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,295.15 : 382,667.30 = 149,970.74 : x
  2. Step 2: Convert to fraction form
    277,295.15/382,667.30 = 149,970.74/x
  3. Step 3: Cross multiply
    277,295.15x = 382,667.30 × 149,970.74
  4. Step 4: Simplify right side
    277,295.15x = 57,388,898,154.80
  5. Step 5: Solve for x
    x = 57,388,898,154.80/277,295.15
  6. Step 6: Final answer
    x = 206,959.62

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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.