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Finding the Fourth Proportional to 317,606.16, 438,317.76 and 209,991.16

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Solution

The fourth proportional to 317,606.16, 438,317.76 and 209,991.16 is: 289,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,606.16 : 438,317.76 = 209,991.16 : x
  2. Step 2: Convert to fraction form
    317,606.16/438,317.76 = 209,991.16/x
  3. Step 3: Cross multiply
    317,606.16x = 438,317.76 × 209,991.16
  4. Step 4: Simplify right side
    317,606.16x = 92,042,854,871.00
  5. Step 5: Solve for x
    x = 92,042,854,871.00/317,606.16
  6. Step 6: Final answer
    x = 289,801.86

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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.