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Finding the Fourth Proportional to 313,820.67, 433,070.78 and 177,880.32

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Solution

The fourth proportional to 313,820.67, 433,070.78 and 177,880.32 is: 245,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,820.67 : 433,070.78 = 177,880.32 : x
  2. Step 2: Convert to fraction form
    313,820.67/433,070.78 = 177,880.32/x
  3. Step 3: Cross multiply
    313,820.67x = 433,070.78 × 177,880.32
  4. Step 4: Simplify right side
    313,820.67x = 77,034,768,039.65
  5. Step 5: Solve for x
    x = 77,034,768,039.65/313,820.67
  6. Step 6: Final answer
    x = 245,473.85

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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.