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Finding the Fourth Proportional to 435,803.40, 653,742.78 and 120,260.32

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Solution

The fourth proportional to 435,803.40, 653,742.78 and 120,260.32 is: 180,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,803.40 : 653,742.78 = 120,260.32 : x
  2. Step 2: Convert to fraction form
    435,803.40/653,742.78 = 120,260.32/x
  3. Step 3: Cross multiply
    435,803.40x = 653,742.78 × 120,260.32
  4. Step 4: Simplify right side
    435,803.40x = 78,619,315,920.49
  5. Step 5: Solve for x
    x = 78,619,315,920.49/435,803.40
  6. Step 6: Final answer
    x = 180,400.88

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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.