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Finding the Fourth Proportional to 289,457.52, 434,333.88 and 139,825.41

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Solution

The fourth proportional to 289,457.52, 434,333.88 and 139,825.41 is: 209,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,457.52 : 434,333.88 = 139,825.41 : x
  2. Step 2: Convert to fraction form
    289,457.52/434,333.88 = 139,825.41/x
  3. Step 3: Cross multiply
    289,457.52x = 434,333.88 × 139,825.41
  4. Step 4: Simplify right side
    289,457.52x = 60,730,912,847.89
  5. Step 5: Solve for x
    x = 60,730,912,847.89/289,457.52
  6. Step 6: Final answer
    x = 209,809.41

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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.