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Finding the Fourth Proportional to 270,706.10, 405,281.55 and 165,730.10

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Solution

The fourth proportional to 270,706.10, 405,281.55 and 165,730.10 is: 248,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,706.10 : 405,281.55 = 165,730.10 : x
  2. Step 2: Convert to fraction form
    270,706.10/405,281.55 = 165,730.10/x
  3. Step 3: Cross multiply
    270,706.10x = 405,281.55 × 165,730.10
  4. Step 4: Simplify right side
    270,706.10x = 67,167,351,809.66
  5. Step 5: Solve for x
    x = 67,167,351,809.66/270,706.10
  6. Step 6: Final answer
    x = 248,119.09

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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.