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Finding the Fourth Proportional to 292,228.40, 438,342.60 and 105,215.60

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Solution

The fourth proportional to 292,228.40, 438,342.60 and 105,215.60 is: 157,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,228.40 : 438,342.60 = 105,215.60 : x
  2. Step 2: Convert to fraction form
    292,228.40/438,342.60 = 105,215.60/x
  3. Step 3: Cross multiply
    292,228.40x = 438,342.60 × 105,215.60
  4. Step 4: Simplify right side
    292,228.40x = 46,120,479,664.56
  5. Step 5: Solve for x
    x = 46,120,479,664.56/292,228.40
  6. Step 6: Final answer
    x = 157,823.40

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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.