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Finding the Fourth Proportional to 253,662.08, 380,464.32 and 66,688.16

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Solution

The fourth proportional to 253,662.08, 380,464.32 and 66,688.16 is: 100,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,662.08 : 380,464.32 = 66,688.16 : x
  2. Step 2: Convert to fraction form
    253,662.08/380,464.32 = 66,688.16/x
  3. Step 3: Cross multiply
    253,662.08x = 380,464.32 × 66,688.16
  4. Step 4: Simplify right side
    253,662.08x = 25,372,465,446.45
  5. Step 5: Solve for x
    x = 25,372,465,446.45/253,662.08
  6. Step 6: Final answer
    x = 100,024.67

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1.5x scale

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.