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Finding the Fourth Proportional to 311,483.07, 429,782.36 and 198,264.51

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Solution

The fourth proportional to 311,483.07, 429,782.36 and 198,264.51 is: 273,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,483.07 : 429,782.36 = 198,264.51 : x
  2. Step 2: Convert to fraction form
    311,483.07/429,782.36 = 198,264.51/x
  3. Step 3: Cross multiply
    311,483.07x = 429,782.36 × 198,264.51
  4. Step 4: Simplify right side
    311,483.07x = 85,210,588,020.72
  5. Step 5: Solve for x
    x = 85,210,588,020.72/311,483.07
  6. Step 6: Final answer
    x = 273,564.11

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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.