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Finding the Fourth Proportional to 378,098.51, 521,968.84 and 256,234.67

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Solution

The fourth proportional to 378,098.51, 521,968.84 and 256,234.67 is: 353,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,098.51 : 521,968.84 = 256,234.67 : x
  2. Step 2: Convert to fraction form
    378,098.51/521,968.84 = 256,234.67/x
  3. Step 3: Cross multiply
    378,098.51x = 521,968.84 × 256,234.67
  4. Step 4: Simplify right side
    378,098.51x = 133,746,513,467.68
  5. Step 5: Solve for x
    x = 133,746,513,467.68/378,098.51
  6. Step 6: Final answer
    x = 353,734.57

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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.