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Finding the Fourth Proportional to 617,681.41, 852,414.78 and 345,742.54

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Solution

The fourth proportional to 617,681.41, 852,414.78 and 345,742.54 is: 477,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,681.41 : 852,414.78 = 345,742.54 : x
  2. Step 2: Convert to fraction form
    617,681.41/852,414.78 = 345,742.54/x
  3. Step 3: Cross multiply
    617,681.41x = 852,414.78 × 345,742.54
  4. Step 4: Simplify right side
    617,681.41x = 294,716,051,170.74
  5. Step 5: Solve for x
    x = 294,716,051,170.74/617,681.41
  6. Step 6: Final answer
    x = 477,132.78

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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.