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Finding the Fourth Proportional to 493,656.69, 740,513.73 and 138,698.43

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Solution

The fourth proportional to 493,656.69, 740,513.73 and 138,698.43 is: 208,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,656.69 : 740,513.73 = 138,698.43 : x
  2. Step 2: Convert to fraction form
    493,656.69/740,513.73 = 138,698.43/x
  3. Step 3: Cross multiply
    493,656.69x = 740,513.73 × 138,698.43
  4. Step 4: Simplify right side
    493,656.69x = 102,708,091,744.44
  5. Step 5: Solve for x
    x = 102,708,091,744.44/493,656.69
  6. Step 6: Final answer
    x = 208,055.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.