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Finding the Fourth Proportional to 489,624.83, 734,441.34 and 134,658.32

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Solution

The fourth proportional to 489,624.83, 734,441.34 and 134,658.32 is: 201,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,624.83 : 734,441.34 = 134,658.32 : x
  2. Step 2: Convert to fraction form
    489,624.83/734,441.34 = 134,658.32/x
  3. Step 3: Cross multiply
    489,624.83x = 734,441.34 × 134,658.32
  4. Step 4: Simplify right side
    489,624.83x = 98,898,636,982.95
  5. Step 5: Solve for x
    x = 98,898,636,982.95/489,624.83
  6. Step 6: Final answer
    x = 201,988.61

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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.