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Finding the Fourth Proportional to 261,376.56, 360,643.92 and 153,907.32

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Solution

The fourth proportional to 261,376.56, 360,643.92 and 153,907.32 is: 212,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,376.56 : 360,643.92 = 153,907.32 : x
  2. Step 2: Convert to fraction form
    261,376.56/360,643.92 = 153,907.32/x
  3. Step 3: Cross multiply
    261,376.56x = 360,643.92 × 153,907.32
  4. Step 4: Simplify right side
    261,376.56x = 55,505,739,201.49
  5. Step 5: Solve for x
    x = 55,505,739,201.49/261,376.56
  6. Step 6: Final answer
    x = 212,359.28

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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.