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Finding the Fourth Proportional to 257,458.50, 355,314.60 and 144,303.12

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Solution

The fourth proportional to 257,458.50, 355,314.60 and 144,303.12 is: 199,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,458.50 : 355,314.60 = 144,303.12 : x
  2. Step 2: Convert to fraction form
    257,458.50/355,314.60 = 144,303.12/x
  3. Step 3: Cross multiply
    257,458.50x = 355,314.60 × 144,303.12
  4. Step 4: Simplify right side
    257,458.50x = 51,273,005,361.55
  5. Step 5: Solve for x
    x = 51,273,005,361.55/257,458.50
  6. Step 6: Final answer
    x = 199,150.56

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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.