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Finding the Fourth Proportional to 381,759.49, 572,638.59 and 97,450

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Solution

The fourth proportional to 381,759.49, 572,638.59 and 97,450 is: 146,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,759.49 : 572,638.59 = 97,450 : x
  2. Step 2: Convert to fraction form
    381,759.49/572,638.59 = 97,450/x
  3. Step 3: Cross multiply
    381,759.49x = 572,638.59 × 97,450
  4. Step 4: Simplify right side
    381,759.49x = 55,803,630,595.50
  5. Step 5: Solve for x
    x = 55,803,630,595.50/381,759.49
  6. Step 6: Final answer
    x = 146,174.84

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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.