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Finding the Fourth Proportional to 311,862.42, 430,369.55 and 175,895.94

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Solution

The fourth proportional to 311,862.42, 430,369.55 and 175,895.94 is: 242,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,862.42 : 430,369.55 = 175,895.94 : x
  2. Step 2: Convert to fraction form
    311,862.42/430,369.55 = 175,895.94/x
  3. Step 3: Cross multiply
    311,862.42x = 430,369.55 × 175,895.94
  4. Step 4: Simplify right side
    311,862.42x = 75,700,256,544.63
  5. Step 5: Solve for x
    x = 75,700,256,544.63/311,862.42
  6. Step 6: Final answer
    x = 242,736.06

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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.