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Finding the Fourth Proportional to 270,848.95, 406,429.01 and 211,518.07

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Solution

The fourth proportional to 270,848.95, 406,429.01 and 211,518.07 is: 317,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,848.95 : 406,429.01 = 211,518.07 : x
  2. Step 2: Convert to fraction form
    270,848.95/406,429.01 = 211,518.07/x
  3. Step 3: Cross multiply
    270,848.95x = 406,429.01 × 211,518.07
  4. Step 4: Simplify right side
    270,848.95x = 85,967,079,787.21
  5. Step 5: Solve for x
    x = 85,967,079,787.21/270,848.95
  6. Step 6: Final answer
    x = 317,398.61

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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.