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Finding the Fourth Proportional to 270,378, 405,537.80 and 90,443.03

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Solution

The fourth proportional to 270,378, 405,537.80 and 90,443.03 is: 135,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,378 : 405,537.80 = 90,443.03 : x
  2. Step 2: Convert to fraction form
    270,378/405,537.80 = 90,443.03/x
  3. Step 3: Cross multiply
    270,378x = 405,537.80 × 90,443.03
  4. Step 4: Simplify right side
    270,378x = 36,678,064,931.63
  5. Step 5: Solve for x
    x = 36,678,064,931.63/270,378
  6. Step 6: Final answer
    x = 135,654.77

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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.