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Finding the Fourth Proportional to 208,311.24, 287,354.41 and 169,590.71

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Solution

The fourth proportional to 208,311.24, 287,354.41 and 169,590.71 is: 233,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.24 : 287,354.41 = 169,590.71 : x
  2. Step 2: Convert to fraction form
    208,311.24/287,354.41 = 169,590.71/x
  3. Step 3: Cross multiply
    208,311.24x = 287,354.41 × 169,590.71
  4. Step 4: Simplify right side
    208,311.24x = 48,732,638,707.94
  5. Step 5: Solve for x
    x = 48,732,638,707.94/208,311.24
  6. Step 6: Final answer
    x = 233,941.48

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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.