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Finding the Fourth Proportional to 274,043, 378,130.94 and 153,145.64

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Solution

The fourth proportional to 274,043, 378,130.94 and 153,145.64 is: 211,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,043 : 378,130.94 = 153,145.64 : x
  2. Step 2: Convert to fraction form
    274,043/378,130.94 = 153,145.64/x
  3. Step 3: Cross multiply
    274,043x = 378,130.94 × 153,145.64
  4. Step 4: Simplify right side
    274,043x = 57,909,104,810.10
  5. Step 5: Solve for x
    x = 57,909,104,810.10/274,043
  6. Step 6: Final answer
    x = 211,313.94

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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.