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Finding the Fourth Proportional to 687,805.07, 949,200.64 and 381,881.47

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Solution

The fourth proportional to 687,805.07, 949,200.64 and 381,881.47 is: 527,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,805.07 : 949,200.64 = 381,881.47 : x
  2. Step 2: Convert to fraction form
    687,805.07/949,200.64 = 381,881.47/x
  3. Step 3: Cross multiply
    687,805.07x = 949,200.64 × 381,881.47
  4. Step 4: Simplify right side
    687,805.07x = 362,482,130,982.14
  5. Step 5: Solve for x
    x = 362,482,130,982.14/687,805.07
  6. Step 6: Final answer
    x = 527,012.88

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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.