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Finding the Fourth Proportional to 389,410.70, 537,393.76 and 228,381.90

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Solution

The fourth proportional to 389,410.70, 537,393.76 and 228,381.90 is: 315,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,410.70 : 537,393.76 = 228,381.90 : x
  2. Step 2: Convert to fraction form
    389,410.70/537,393.76 = 228,381.90/x
  3. Step 3: Cross multiply
    389,410.70x = 537,393.76 × 228,381.90
  4. Step 4: Simplify right side
    389,410.70x = 122,731,007,956.94
  5. Step 5: Solve for x
    x = 122,731,007,956.94/389,410.70
  6. Step 6: Final answer
    x = 315,171.12

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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.