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Finding the Fourth Proportional to 273,907, 378,009.24 and 153,048.64

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Solution

The fourth proportional to 273,907, 378,009.24 and 153,048.64 is: 211,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,907 : 378,009.24 = 153,048.64 : x
  2. Step 2: Convert to fraction form
    273,907/378,009.24 = 153,048.64/x
  3. Step 3: Cross multiply
    273,907x = 378,009.24 × 153,048.64
  4. Step 4: Simplify right side
    273,907x = 57,853,800,089.43
  5. Step 5: Solve for x
    x = 57,853,800,089.43/273,907
  6. Step 6: Final answer
    x = 211,216.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.