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Finding the Fourth Proportional to 489,624.71, 734,441.15 and 134,658.20

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Solution

The fourth proportional to 489,624.71, 734,441.15 and 134,658.20 is: 201,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,624.71 : 734,441.15 = 134,658.20 : x
  2. Step 2: Convert to fraction form
    489,624.71/734,441.15 = 134,658.20/x
  3. Step 3: Cross multiply
    489,624.71x = 734,441.15 × 134,658.20
  4. Step 4: Simplify right side
    489,624.71x = 98,898,519,929.37
  5. Step 5: Solve for x
    x = 98,898,519,929.37/489,624.71
  6. Step 6: Final answer
    x = 201,988.42

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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.