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Finding the Fourth Proportional to 556,516.36, 767,992.64 and 314,793.76

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Solution

The fourth proportional to 556,516.36, 767,992.64 and 314,793.76 is: 434,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,516.36 : 767,992.64 = 314,793.76 : x
  2. Step 2: Convert to fraction form
    556,516.36/767,992.64 = 314,793.76/x
  3. Step 3: Cross multiply
    556,516.36x = 767,992.64 × 314,793.76
  4. Step 4: Simplify right side
    556,516.36x = 241,759,290,797.93
  5. Step 5: Solve for x
    x = 241,759,290,797.93/556,516.36
  6. Step 6: Final answer
    x = 434,415.42

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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.