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Finding the Fourth Proportional to 311,873.81, 430,385.22 and 175,907.34

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Solution

The fourth proportional to 311,873.81, 430,385.22 and 175,907.34 is: 242,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,873.81 : 430,385.22 = 175,907.34 : x
  2. Step 2: Convert to fraction form
    311,873.81/430,385.22 = 175,907.34/x
  3. Step 3: Cross multiply
    311,873.81x = 430,385.22 × 175,907.34
  4. Step 4: Simplify right side
    311,873.81x = 75,707,919,225.51
  5. Step 5: Solve for x
    x = 75,707,919,225.51/311,873.81
  6. Step 6: Final answer
    x = 242,751.77

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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.