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Finding the Fourth Proportional to 305,445.34, 458,058.21 and 105,711.52

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Solution

The fourth proportional to 305,445.34, 458,058.21 and 105,711.52 is: 158,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,445.34 : 458,058.21 = 105,711.52 : x
  2. Step 2: Convert to fraction form
    305,445.34/458,058.21 = 105,711.52/x
  3. Step 3: Cross multiply
    305,445.34x = 458,058.21 × 105,711.52
  4. Step 4: Simplify right side
    305,445.34x = 48,422,029,627.58
  5. Step 5: Solve for x
    x = 48,422,029,627.58/305,445.34
  6. Step 6: Final answer
    x = 158,529.28

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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.