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Finding the Fourth Proportional to 317,866.96, 438,402.70 and 209,083.01

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Solution

The fourth proportional to 317,866.96, 438,402.70 and 209,083.01 is: 288,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,866.96 : 438,402.70 = 209,083.01 : x
  2. Step 2: Convert to fraction form
    317,866.96/438,402.70 = 209,083.01/x
  3. Step 3: Cross multiply
    317,866.96x = 438,402.70 × 209,083.01
  4. Step 4: Simplify right side
    317,866.96x = 91,662,558,364.95
  5. Step 5: Solve for x
    x = 91,662,558,364.95/317,866.96
  6. Step 6: Final answer
    x = 288,367.68

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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.