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Finding the Fourth Proportional to 270,135.40, 405,203.10 and 70,455.28

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Solution

The fourth proportional to 270,135.40, 405,203.10 and 70,455.28 is: 105,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,135.40 : 405,203.10 = 70,455.28 : x
  2. Step 2: Convert to fraction form
    270,135.40/405,203.10 = 70,455.28/x
  3. Step 3: Cross multiply
    270,135.40x = 405,203.10 × 70,455.28
  4. Step 4: Simplify right side
    270,135.40x = 28,548,697,867.37
  5. Step 5: Solve for x
    x = 28,548,697,867.37/270,135.40
  6. Step 6: Final answer
    x = 105,682.92

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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.