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Finding the Fourth Proportional to 461,432.70, 692,149.05 and 212,114.70

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Solution

The fourth proportional to 461,432.70, 692,149.05 and 212,114.70 is: 318,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,432.70 : 692,149.05 = 212,114.70 : x
  2. Step 2: Convert to fraction form
    461,432.70/692,149.05 = 212,114.70/x
  3. Step 3: Cross multiply
    461,432.70x = 692,149.05 × 212,114.70
  4. Step 4: Simplify right side
    461,432.70x = 146,814,988,096.04
  5. Step 5: Solve for x
    x = 146,814,988,096.04/461,432.70
  6. Step 6: Final answer
    x = 318,172.05

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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.