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Finding the Fourth Proportional to 435,800.49, 653,738.40 and 120,257.40

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Solution

The fourth proportional to 435,800.49, 653,738.40 and 120,257.40 is: 180,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,800.49 : 653,738.40 = 120,257.40 : x
  2. Step 2: Convert to fraction form
    435,800.49/653,738.40 = 120,257.40/x
  3. Step 3: Cross multiply
    435,800.49x = 653,738.40 × 120,257.40
  4. Step 4: Simplify right side
    435,800.49x = 78,616,880,264.16
  5. Step 5: Solve for x
    x = 78,616,880,264.16/435,800.49
  6. Step 6: Final answer
    x = 180,396.49

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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.