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Finding the Fourth Proportional to 207,459.32, 311,475.60 and 143,266.88

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Solution

The fourth proportional to 207,459.32, 311,475.60 and 143,266.88 is: 215,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,459.32 : 311,475.60 = 143,266.88 : x
  2. Step 2: Convert to fraction form
    207,459.32/311,475.60 = 143,266.88/x
  3. Step 3: Cross multiply
    207,459.32x = 311,475.60 × 143,266.88
  4. Step 4: Simplify right side
    207,459.32x = 44,624,137,408.13
  5. Step 5: Solve for x
    x = 44,624,137,408.13/207,459.32
  6. Step 6: Final answer
    x = 215,098.25

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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.