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Finding the Fourth Proportional to 409,877.57, 565,638.31 and 228,570.03

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Solution

The fourth proportional to 409,877.57, 565,638.31 and 228,570.03 is: 315,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,877.57 : 565,638.31 = 228,570.03 : x
  2. Step 2: Convert to fraction form
    409,877.57/565,638.31 = 228,570.03/x
  3. Step 3: Cross multiply
    409,877.57x = 565,638.31 × 228,570.03
  4. Step 4: Simplify right side
    409,877.57x = 129,287,964,823.56
  5. Step 5: Solve for x
    x = 129,287,964,823.56/409,877.57
  6. Step 6: Final answer
    x = 315,430.69

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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.