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Finding the Fourth Proportional to 257,057.89, 354,739.60 and 143,880.64

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Solution

The fourth proportional to 257,057.89, 354,739.60 and 143,880.64 is: 198,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,057.89 : 354,739.60 = 143,880.64 : x
  2. Step 2: Convert to fraction form
    257,057.89/354,739.60 = 143,880.64/x
  3. Step 3: Cross multiply
    257,057.89x = 354,739.60 × 143,880.64
  4. Step 4: Simplify right side
    257,057.89x = 51,040,160,681.34
  5. Step 5: Solve for x
    x = 51,040,160,681.34/257,057.89
  6. Step 6: Final answer
    x = 198,555.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.