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Finding the Fourth Proportional to 513,215.43, 770,038.44 and 228,709.98

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Solution

The fourth proportional to 513,215.43, 770,038.44 and 228,709.98 is: 343,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,215.43 : 770,038.44 = 228,709.98 : x
  2. Step 2: Convert to fraction form
    513,215.43/770,038.44 = 228,709.98/x
  3. Step 3: Cross multiply
    513,215.43x = 770,038.44 × 228,709.98
  4. Step 4: Simplify right side
    513,215.43x = 176,115,476,211.63
  5. Step 5: Solve for x
    x = 176,115,476,211.63/513,215.43
  6. Step 6: Final answer
    x = 343,160.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.