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Finding the Fourth Proportional to 311,564.94, 429,947.19 and 175,627.11

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Solution

The fourth proportional to 311,564.94, 429,947.19 and 175,627.11 is: 242,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,564.94 : 429,947.19 = 175,627.11 : x
  2. Step 2: Convert to fraction form
    311,564.94/429,947.19 = 175,627.11/x
  3. Step 3: Cross multiply
    311,564.94x = 429,947.19 × 175,627.11
  4. Step 4: Simplify right side
    311,564.94x = 75,510,382,432.32
  5. Step 5: Solve for x
    x = 75,510,382,432.32/311,564.94
  6. Step 6: Final answer
    x = 242,358.41

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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.