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Finding the Fourth Proportional to 851,857, 1,277,411.28 and 319,004.32

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Solution

The fourth proportional to 851,857, 1,277,411.28 and 319,004.32 is: 478,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,857 : 1,277,411.28 = 319,004.32 : x
  2. Step 2: Convert to fraction form
    851,857/1,277,411.28 = 319,004.32/x
  3. Step 3: Cross multiply
    851,857x = 1,277,411.28 × 319,004.32
  4. Step 4: Simplify right side
    851,857x = 407,499,716,736.73
  5. Step 5: Solve for x
    x = 407,499,716,736.73/851,857
  6. Step 6: Final answer
    x = 478,366.34

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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.