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Finding the Fourth Proportional to 386,715.96, 533,659.98 and 214,623.94

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Solution

The fourth proportional to 386,715.96, 533,659.98 and 214,623.94 is: 296,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,715.96 : 533,659.98 = 214,623.94 : x
  2. Step 2: Convert to fraction form
    386,715.96/533,659.98 = 214,623.94/x
  3. Step 3: Cross multiply
    386,715.96x = 533,659.98 × 214,623.94
  4. Step 4: Simplify right side
    386,715.96x = 114,536,207,527.92
  5. Step 5: Solve for x
    x = 114,536,207,527.92/386,715.96
  6. Step 6: Final answer
    x = 296,176.57

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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.