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Finding the Fourth Proportional to 453,138.60, 678,930.30 and 295,285.80

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Solution

The fourth proportional to 453,138.60, 678,930.30 and 295,285.80 is: 442,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,138.60 : 678,930.30 = 295,285.80 : x
  2. Step 2: Convert to fraction form
    453,138.60/678,930.30 = 295,285.80/x
  3. Step 3: Cross multiply
    453,138.60x = 678,930.30 × 295,285.80
  4. Step 4: Simplify right side
    453,138.60x = 200,478,476,779.74
  5. Step 5: Solve for x
    x = 200,478,476,779.74/453,138.60
  6. Step 6: Final answer
    x = 442,421.98

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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.