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Finding the Fourth Proportional to 311,838.40, 430,447.59 and 184,513.69

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Solution

The fourth proportional to 311,838.40, 430,447.59 and 184,513.69 is: 254,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,838.40 : 430,447.59 = 184,513.69 : x
  2. Step 2: Convert to fraction form
    311,838.40/430,447.59 = 184,513.69/x
  3. Step 3: Cross multiply
    311,838.40x = 430,447.59 × 184,513.69
  4. Step 4: Simplify right side
    311,838.40x = 79,423,472,106.39
  5. Step 5: Solve for x
    x = 79,423,472,106.39/311,838.40
  6. Step 6: Final answer
    x = 254,694.33

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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.