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Finding the Fourth Proportional to 687,804.51, 949,199.86 and 381,880.90

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Solution

The fourth proportional to 687,804.51, 949,199.86 and 381,880.90 is: 527,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,804.51 : 949,199.86 = 381,880.90 : x
  2. Step 2: Convert to fraction form
    687,804.51/949,199.86 = 381,880.90/x
  3. Step 3: Cross multiply
    687,804.51x = 949,199.86 × 381,880.90
  4. Step 4: Simplify right side
    687,804.51x = 362,481,299,196.55
  5. Step 5: Solve for x
    x = 362,481,299,196.55/687,804.51
  6. Step 6: Final answer
    x = 527,012.10

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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.