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Finding the Fourth Proportional to 389,117.70, 583,676.55 and 274,956.30

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Solution

The fourth proportional to 389,117.70, 583,676.55 and 274,956.30 is: 412,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,117.70 : 583,676.55 = 274,956.30 : x
  2. Step 2: Convert to fraction form
    389,117.70/583,676.55 = 274,956.30/x
  3. Step 3: Cross multiply
    389,117.70x = 583,676.55 × 274,956.30
  4. Step 4: Simplify right side
    389,117.70x = 160,485,544,584.77
  5. Step 5: Solve for x
    x = 160,485,544,584.77/389,117.70
  6. Step 6: Final answer
    x = 412,434.45

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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.