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Finding the Fourth Proportional to 312,355.98, 431,050.68 and 169,116

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Solution

The fourth proportional to 312,355.98, 431,050.68 and 169,116 is: 233,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,355.98 : 431,050.68 = 169,116 : x
  2. Step 2: Convert to fraction form
    312,355.98/431,050.68 = 169,116/x
  3. Step 3: Cross multiply
    312,355.98x = 431,050.68 × 169,116
  4. Step 4: Simplify right side
    312,355.98x = 72,897,566,798.88
  5. Step 5: Solve for x
    x = 72,897,566,798.88/312,355.98
  6. Step 6: Final answer
    x = 233,379.77

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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.