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Finding the Fourth Proportional to 493,959.78, 740,939.67 and 138,973.62

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Solution

The fourth proportional to 493,959.78, 740,939.67 and 138,973.62 is: 208,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,959.78 : 740,939.67 = 138,973.62 : x
  2. Step 2: Convert to fraction form
    493,959.78/740,939.67 = 138,973.62/x
  3. Step 3: Cross multiply
    493,959.78x = 740,939.67 × 138,973.62
  4. Step 4: Simplify right side
    493,959.78x = 102,971,068,141.51
  5. Step 5: Solve for x
    x = 102,971,068,141.51/493,959.78
  6. Step 6: Final answer
    x = 208,460.43

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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.