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Finding the Fourth Proportional to 270,208.94, 405,567.34 and 137,184.66

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Solution

The fourth proportional to 270,208.94, 405,567.34 and 137,184.66 is: 205,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,208.94 : 405,567.34 = 137,184.66 : x
  2. Step 2: Convert to fraction form
    270,208.94/405,567.34 = 137,184.66/x
  3. Step 3: Cross multiply
    270,208.94x = 405,567.34 × 137,184.66
  4. Step 4: Simplify right side
    270,208.94x = 55,637,617,302.04
  5. Step 5: Solve for x
    x = 55,637,617,302.04/270,208.94
  6. Step 6: Final answer
    x = 205,905.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.