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Finding the Fourth Proportional to 420,453.56, 630,305.32 and 154,152

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Solution

The fourth proportional to 420,453.56, 630,305.32 and 154,152 is: 231,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,453.56 : 630,305.32 = 154,152 : x
  2. Step 2: Convert to fraction form
    420,453.56/630,305.32 = 154,152/x
  3. Step 3: Cross multiply
    420,453.56x = 630,305.32 × 154,152
  4. Step 4: Simplify right side
    420,453.56x = 97,162,825,688.64
  5. Step 5: Solve for x
    x = 97,162,825,688.64/420,453.56
  6. Step 6: Final answer
    x = 231,090.51

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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.