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Finding the Fourth Proportional to 378,260.36, 521,908.98 and 214,880.84

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Solution

The fourth proportional to 378,260.36, 521,908.98 and 214,880.84 is: 296,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,260.36 : 521,908.98 = 214,880.84 : x
  2. Step 2: Convert to fraction form
    378,260.36/521,908.98 = 214,880.84/x
  3. Step 3: Cross multiply
    378,260.36x = 521,908.98 × 214,880.84
  4. Step 4: Simplify right side
    378,260.36x = 112,148,240,025.94
  5. Step 5: Solve for x
    x = 112,148,240,025.94/378,260.36
  6. Step 6: Final answer
    x = 296,484.25

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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.