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Finding the Fourth Proportional to 257,216.58, 354,962.44 and 148,319.01

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Solution

The fourth proportional to 257,216.58, 354,962.44 and 148,319.01 is: 204,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,216.58 : 354,962.44 = 148,319.01 : x
  2. Step 2: Convert to fraction form
    257,216.58/354,962.44 = 148,319.01/x
  3. Step 3: Cross multiply
    257,216.58x = 354,962.44 × 148,319.01
  4. Step 4: Simplify right side
    257,216.58x = 52,647,677,317.19
  5. Step 5: Solve for x
    x = 52,647,677,317.19/257,216.58
  6. Step 6: Final answer
    x = 204,682.28

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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.