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Finding the Fourth Proportional to 409,845.86, 565,590.58 and 228,569.48

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Solution

The fourth proportional to 409,845.86, 565,590.58 and 228,569.48 is: 315,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,845.86 : 565,590.58 = 228,569.48 : x
  2. Step 2: Convert to fraction form
    409,845.86/565,590.58 = 228,569.48/x
  3. Step 3: Cross multiply
    409,845.86x = 565,590.58 × 228,569.48
  4. Step 4: Simplify right side
    409,845.86x = 129,276,744,763.50
  5. Step 5: Solve for x
    x = 129,276,744,763.50/409,845.86
  6. Step 6: Final answer
    x = 315,427.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.