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Finding the Fourth Proportional to 712,103.46, 982,702.70 and 389,813.77

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Solution

The fourth proportional to 712,103.46, 982,702.70 and 389,813.77 is: 537,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,103.46 : 982,702.70 = 389,813.77 : x
  2. Step 2: Convert to fraction form
    712,103.46/982,702.70 = 389,813.77/x
  3. Step 3: Cross multiply
    712,103.46x = 982,702.70 × 389,813.77
  4. Step 4: Simplify right side
    712,103.46x = 383,071,042,327.11
  5. Step 5: Solve for x
    x = 383,071,042,327.11/712,103.46
  6. Step 6: Final answer
    x = 537,942.96

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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.