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Finding the Fourth Proportional to 489,898, 734,847.54 and 194,410

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Solution

The fourth proportional to 489,898, 734,847.54 and 194,410 is: 291,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,898 : 734,847.54 = 194,410 : x
  2. Step 2: Convert to fraction form
    489,898/734,847.54 = 194,410/x
  3. Step 3: Cross multiply
    489,898x = 734,847.54 × 194,410
  4. Step 4: Simplify right side
    489,898x = 142,861,710,251.40
  5. Step 5: Solve for x
    x = 142,861,710,251.40/489,898
  6. Step 6: Final answer
    x = 291,615.21

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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.