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Finding the Fourth Proportional to 353,712.70, 530,787.78 and 143,352.46

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Solution

The fourth proportional to 353,712.70, 530,787.78 and 143,352.46 is: 215,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,712.70 : 530,787.78 = 143,352.46 : x
  2. Step 2: Convert to fraction form
    353,712.70/530,787.78 = 143,352.46/x
  3. Step 3: Cross multiply
    353,712.70x = 530,787.78 × 143,352.46
  4. Step 4: Simplify right side
    353,712.70x = 76,089,734,000.94
  5. Step 5: Solve for x
    x = 76,089,734,000.94/353,712.70
  6. Step 6: Final answer
    x = 215,117.34

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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.