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Finding the Fourth Proportional to 292,446.28, 438,669.44 and 105,457.78

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Solution

The fourth proportional to 292,446.28, 438,669.44 and 105,457.78 is: 158,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,446.28 : 438,669.44 = 105,457.78 : x
  2. Step 2: Convert to fraction form
    292,446.28/438,669.44 = 105,457.78/x
  3. Step 3: Cross multiply
    292,446.28x = 438,669.44 × 105,457.78
  4. Step 4: Simplify right side
    292,446.28x = 46,261,105,712.76
  5. Step 5: Solve for x
    x = 46,261,105,712.76/292,446.28
  6. Step 6: Final answer
    x = 158,186.68

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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.