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Finding the Fourth Proportional to 514,200.40, 771,300.60 and 214,581.40

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Solution

The fourth proportional to 514,200.40, 771,300.60 and 214,581.40 is: 321,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,200.40 : 771,300.60 = 214,581.40 : x
  2. Step 2: Convert to fraction form
    514,200.40/771,300.60 = 214,581.40/x
  3. Step 3: Cross multiply
    514,200.40x = 771,300.60 × 214,581.40
  4. Step 4: Simplify right side
    514,200.40x = 165,506,762,568.84
  5. Step 5: Solve for x
    x = 165,506,762,568.84/514,200.40
  6. Step 6: Final answer
    x = 321,872.10

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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.