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Finding the Fourth Proportional to 426,077.60, 638,809.20 and 278,416.80

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Solution

The fourth proportional to 426,077.60, 638,809.20 and 278,416.80 is: 417,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,077.60 : 638,809.20 = 278,416.80 : x
  2. Step 2: Convert to fraction form
    426,077.60/638,809.20 = 278,416.80/x
  3. Step 3: Cross multiply
    426,077.60x = 638,809.20 × 278,416.80
  4. Step 4: Simplify right side
    426,077.60x = 177,855,213,274.56
  5. Step 5: Solve for x
    x = 177,855,213,274.56/426,077.60
  6. Step 6: Final answer
    x = 417,424.46

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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.