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Finding the Fourth Proportional to 409,751.90, 565,416.30 and 228,446.78

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Solution

The fourth proportional to 409,751.90, 565,416.30 and 228,446.78 is: 315,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,751.90 : 565,416.30 = 228,446.78 : x
  2. Step 2: Convert to fraction form
    409,751.90/565,416.30 = 228,446.78/x
  3. Step 3: Cross multiply
    409,751.90x = 565,416.30 × 228,446.78
  4. Step 4: Simplify right side
    409,751.90x = 129,167,533,094.51
  5. Step 5: Solve for x
    x = 129,167,533,094.51/409,751.90
  6. Step 6: Final answer
    x = 315,233.52

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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.