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Finding the Fourth Proportional to 292,478.31, 438,717.60 and 105,489.81

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Solution

The fourth proportional to 292,478.31, 438,717.60 and 105,489.81 is: 158,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,478.31 : 438,717.60 = 105,489.81 : x
  2. Step 2: Convert to fraction form
    292,478.31/438,717.60 = 105,489.81/x
  3. Step 3: Cross multiply
    292,478.31x = 438,717.60 × 105,489.81
  4. Step 4: Simplify right side
    292,478.31x = 46,280,236,267.66
  5. Step 5: Solve for x
    x = 46,280,236,267.66/292,478.31
  6. Step 6: Final answer
    x = 158,234.76

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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.