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Finding the Fourth Proportional to 308,632.88, 462,194.32 and 278,714.72

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Solution

The fourth proportional to 308,632.88, 462,194.32 and 278,714.72 is: 417,390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,632.88 : 462,194.32 = 278,714.72 : x
  2. Step 2: Convert to fraction form
    308,632.88/462,194.32 = 278,714.72/x
  3. Step 3: Cross multiply
    308,632.88x = 462,194.32 × 278,714.72
  4. Step 4: Simplify right side
    308,632.88x = 128,820,360,484.39
  5. Step 5: Solve for x
    x = 128,820,360,484.39/308,632.88
  6. Step 6: Final answer
    x = 417,390.27

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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.