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Finding the Fourth Proportional to 456,290.83, 687,516.55 and 378,069.34

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Solution

The fourth proportional to 456,290.83, 687,516.55 and 378,069.34 is: 569,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,290.83 : 687,516.55 = 378,069.34 : x
  2. Step 2: Convert to fraction form
    456,290.83/687,516.55 = 378,069.34/x
  3. Step 3: Cross multiply
    456,290.83x = 687,516.55 × 378,069.34
  4. Step 4: Simplify right side
    456,290.83x = 259,928,928,297.58
  5. Step 5: Solve for x
    x = 259,928,928,297.58/456,290.83
  6. Step 6: Final answer
    x = 569,656.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.