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Finding the Fourth Proportional to 493,636.66, 740,308.28 and 209,323.01

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Solution

The fourth proportional to 493,636.66, 740,308.28 and 209,323.01 is: 313,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,636.66 : 740,308.28 = 209,323.01 : x
  2. Step 2: Convert to fraction form
    493,636.66/740,308.28 = 209,323.01/x
  3. Step 3: Cross multiply
    493,636.66x = 740,308.28 × 209,323.01
  4. Step 4: Simplify right side
    493,636.66x = 154,963,558,301.68
  5. Step 5: Solve for x
    x = 154,963,558,301.68/493,636.66
  6. Step 6: Final answer
    x = 313,922.31

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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.