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Finding the Fourth Proportional to 409,659, 565,323.75 and 228,385.86

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Solution

The fourth proportional to 409,659, 565,323.75 and 228,385.86 is: 315,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,659 : 565,323.75 = 228,385.86 : x
  2. Step 2: Convert to fraction form
    409,659/565,323.75 = 228,385.86/x
  3. Step 3: Cross multiply
    409,659x = 565,323.75 × 228,385.86
  4. Step 4: Simplify right side
    409,659x = 129,111,950,822.18
  5. Step 5: Solve for x
    x = 129,111,950,822.18/409,659
  6. Step 6: Final answer
    x = 315,169.33

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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.