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Finding the Fourth Proportional to 514,220.40, 771,330.60 and 214,601.40

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Solution

The fourth proportional to 514,220.40, 771,330.60 and 214,601.40 is: 321,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,220.40 : 771,330.60 = 214,601.40 : x
  2. Step 2: Convert to fraction form
    514,220.40/771,330.60 = 214,601.40/x
  3. Step 3: Cross multiply
    514,220.40x = 771,330.60 × 214,601.40
  4. Step 4: Simplify right side
    514,220.40x = 165,528,626,622.84
  5. Step 5: Solve for x
    x = 165,528,626,622.84/514,220.40
  6. Step 6: Final answer
    x = 321,902.10

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Similar ratio
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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.