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Finding the Fourth Proportional to 295,877.90, 442,942.05 and 278,576.30

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Solution

The fourth proportional to 295,877.90, 442,942.05 and 278,576.30 is: 417,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,877.90 : 442,942.05 = 278,576.30 : x
  2. Step 2: Convert to fraction form
    295,877.90/442,942.05 = 278,576.30/x
  3. Step 3: Cross multiply
    295,877.90x = 442,942.05 × 278,576.30
  4. Step 4: Simplify right side
    295,877.90x = 123,393,157,403.42
  5. Step 5: Solve for x
    x = 123,393,157,403.42/295,877.90
  6. Step 6: Final answer
    x = 417,040.80

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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.