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Finding the Fourth Proportional to 556,338.86, 767,764.34 and 314,616.59

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Solution

The fourth proportional to 556,338.86, 767,764.34 and 314,616.59 is: 434,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,338.86 : 767,764.34 = 314,616.59 : x
  2. Step 2: Convert to fraction form
    556,338.86/767,764.34 = 314,616.59/x
  3. Step 3: Cross multiply
    556,338.86x = 767,764.34 × 314,616.59
  4. Step 4: Simplify right side
    556,338.86x = 241,551,397,221.42
  5. Step 5: Solve for x
    x = 241,551,397,221.42/556,338.86
  6. Step 6: Final answer
    x = 434,180.34

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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.