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Finding the Fourth Proportional to 257,833.70, 355,804.98 and 143,105.64

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Solution

The fourth proportional to 257,833.70, 355,804.98 and 143,105.64 is: 197,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,833.70 : 355,804.98 = 143,105.64 : x
  2. Step 2: Convert to fraction form
    257,833.70/355,804.98 = 143,105.64/x
  3. Step 3: Cross multiply
    257,833.70x = 355,804.98 × 143,105.64
  4. Step 4: Simplify right side
    257,833.70x = 50,917,699,378.09
  5. Step 5: Solve for x
    x = 50,917,699,378.09/257,833.70
  6. Step 6: Final answer
    x = 197,482.72

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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.