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Finding the Fourth Proportional to 295,877.40, 442,941.30 and 278,575.80

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Solution

The fourth proportional to 295,877.40, 442,941.30 and 278,575.80 is: 417,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,877.40 : 442,941.30 = 278,575.80 : x
  2. Step 2: Convert to fraction form
    295,877.40/442,941.30 = 278,575.80/x
  3. Step 3: Cross multiply
    295,877.40x = 442,941.30 × 278,575.80
  4. Step 4: Simplify right side
    295,877.40x = 123,392,727,000.54
  5. Step 5: Solve for x
    x = 123,392,727,000.54/295,877.40
  6. Step 6: Final answer
    x = 417,040.05

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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.