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Finding the Fourth Proportional to 556,100.68, 767,418.42 and 301,449.64

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Solution

The fourth proportional to 556,100.68, 767,418.42 and 301,449.64 is: 416,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,100.68 : 767,418.42 = 301,449.64 : x
  2. Step 2: Convert to fraction form
    556,100.68/767,418.42 = 301,449.64/x
  3. Step 3: Cross multiply
    556,100.68x = 767,418.42 × 301,449.64
  4. Step 4: Simplify right side
    556,100.68x = 231,338,006,438.37
  5. Step 5: Solve for x
    x = 231,338,006,438.37/556,100.68
  6. Step 6: Final answer
    x = 416,000.22

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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.