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Finding the Fourth Proportional to 317,907.92, 438,754.94 and 205,058.72

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Solution

The fourth proportional to 317,907.92, 438,754.94 and 205,058.72 is: 283,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,907.92 : 438,754.94 = 205,058.72 : x
  2. Step 2: Convert to fraction form
    317,907.92/438,754.94 = 205,058.72/x
  3. Step 3: Cross multiply
    317,907.92x = 438,754.94 × 205,058.72
  4. Step 4: Simplify right side
    317,907.92x = 89,970,526,390.08
  5. Step 5: Solve for x
    x = 89,970,526,390.08/317,907.92
  6. Step 6: Final answer
    x = 283,008.13

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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.