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Finding the Fourth Proportional to 478,322, 660,084.36 and 277,234.64

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Solution

The fourth proportional to 478,322, 660,084.36 and 277,234.64 is: 382,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,322 : 660,084.36 = 277,234.64 : x
  2. Step 2: Convert to fraction form
    478,322/660,084.36 = 277,234.64/x
  3. Step 3: Cross multiply
    478,322x = 660,084.36 × 277,234.64
  4. Step 4: Simplify right side
    478,322x = 182,998,249,914.23
  5. Step 5: Solve for x
    x = 182,998,249,914.23/478,322
  6. Step 6: Final answer
    x = 382,583.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.