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Finding the Fourth Proportional to 331,369.63, 457,303.04 and 188,143

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Solution

The fourth proportional to 331,369.63, 457,303.04 and 188,143 is: 259,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,369.63 : 457,303.04 = 188,143 : x
  2. Step 2: Convert to fraction form
    331,369.63/457,303.04 = 188,143/x
  3. Step 3: Cross multiply
    331,369.63x = 457,303.04 × 188,143
  4. Step 4: Simplify right side
    331,369.63x = 86,038,364,914.01
  5. Step 5: Solve for x
    x = 86,038,364,914.01/331,369.63
  6. Step 6: Final answer
    x = 259,644.69

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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.