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Finding the Fourth Proportional to 514,123.63, 770,682.08 and 214,689.84

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Solution

The fourth proportional to 514,123.63, 770,682.08 and 214,689.84 is: 321,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,123.63 : 770,682.08 = 214,689.84 : x
  2. Step 2: Convert to fraction form
    514,123.63/770,682.08 = 214,689.84/x
  3. Step 3: Cross multiply
    514,123.63x = 770,682.08 × 214,689.84
  4. Step 4: Simplify right side
    514,123.63x = 165,457,614,125.91
  5. Step 5: Solve for x
    x = 165,457,614,125.91/514,123.63
  6. Step 6: Final answer
    x = 321,824.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.