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Finding the Fourth Proportional to 310,033.72, 427,665.78 and 195,267.40

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Solution

The fourth proportional to 310,033.72, 427,665.78 and 195,267.40 is: 269,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,033.72 : 427,665.78 = 195,267.40 : x
  2. Step 2: Convert to fraction form
    310,033.72/427,665.78 = 195,267.40/x
  3. Step 3: Cross multiply
    310,033.72x = 427,665.78 × 195,267.40
  4. Step 4: Simplify right side
    310,033.72x = 83,509,184,929.57
  5. Step 5: Solve for x
    x = 83,509,184,929.57/310,033.72
  6. Step 6: Final answer
    x = 269,355.17

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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.