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Finding the Fourth Proportional to 386,790.43, 533,762.34 and 214,698.28

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Solution

The fourth proportional to 386,790.43, 533,762.34 and 214,698.28 is: 296,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,790.43 : 533,762.34 = 214,698.28 : x
  2. Step 2: Convert to fraction form
    386,790.43/533,762.34 = 214,698.28/x
  3. Step 3: Cross multiply
    386,790.43x = 533,762.34 × 214,698.28
  4. Step 4: Simplify right side
    386,790.43x = 114,597,856,326.78
  5. Step 5: Solve for x
    x = 114,597,856,326.78/386,790.43
  6. Step 6: Final answer
    x = 296,278.93

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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.