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Finding the Fourth Proportional to 851,856, 1,277,409.78 and 319,003.32

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Solution

The fourth proportional to 851,856, 1,277,409.78 and 319,003.32 is: 478,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,856 : 1,277,409.78 = 319,003.32 : x
  2. Step 2: Convert to fraction form
    851,856/1,277,409.78 = 319,003.32/x
  3. Step 3: Cross multiply
    851,856x = 1,277,409.78 × 319,003.32
  4. Step 4: Simplify right side
    851,856x = 407,497,960,820.47
  5. Step 5: Solve for x
    x = 407,497,960,820.47/851,856
  6. Step 6: Final answer
    x = 478,364.84

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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.