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Finding the Fourth Proportional to 292,290.88, 438,168 and 105,256.96

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Solution

The fourth proportional to 292,290.88, 438,168 and 105,256.96 is: 157,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,290.88 : 438,168 = 105,256.96 : x
  2. Step 2: Convert to fraction form
    292,290.88/438,168 = 105,256.96/x
  3. Step 3: Cross multiply
    292,290.88x = 438,168 × 105,256.96
  4. Step 4: Simplify right side
    292,290.88x = 46,120,231,649.28
  5. Step 5: Solve for x
    x = 46,120,231,649.28/292,290.88
  6. Step 6: Final answer
    x = 157,788.82

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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.