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Finding the Fourth Proportional to 489,768.48, 734,367.28 and 189,898.74

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Solution

The fourth proportional to 489,768.48, 734,367.28 and 189,898.74 is: 284,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,768.48 : 734,367.28 = 189,898.74 : x
  2. Step 2: Convert to fraction form
    489,768.48/734,367.28 = 189,898.74/x
  3. Step 3: Cross multiply
    489,768.48x = 734,367.28 × 189,898.74
  4. Step 4: Simplify right side
    489,768.48x = 139,455,421,169.23
  5. Step 5: Solve for x
    x = 139,455,421,169.23/489,768.48
  6. Step 6: Final answer
    x = 284,737.44

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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.