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Finding the Fourth Proportional to 457,902.60, 686,533.90 and 270,817.80

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Solution

The fourth proportional to 457,902.60, 686,533.90 and 270,817.80 is: 406,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,902.60 : 686,533.90 = 270,817.80 : x
  2. Step 2: Convert to fraction form
    457,902.60/686,533.90 = 270,817.80/x
  3. Step 3: Cross multiply
    457,902.60x = 686,533.90 × 270,817.80
  4. Step 4: Simplify right side
    457,902.60x = 185,925,600,423.42
  5. Step 5: Solve for x
    x = 185,925,600,423.42/457,902.60
  6. Step 6: Final answer
    x = 406,037.44

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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.