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Finding the Fourth Proportional to 292,447.28, 438,670.94 and 105,458.78

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Solution

The fourth proportional to 292,447.28, 438,670.94 and 105,458.78 is: 158,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,447.28 : 438,670.94 = 105,458.78 : x
  2. Step 2: Convert to fraction form
    292,447.28/438,670.94 = 105,458.78/x
  3. Step 3: Cross multiply
    292,447.28x = 438,670.94 × 105,458.78
  4. Step 4: Simplify right side
    292,447.28x = 46,261,702,153.85
  5. Step 5: Solve for x
    x = 46,261,702,153.85/292,447.28
  6. Step 6: Final answer
    x = 158,188.18

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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.