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Finding the Fourth Proportional to 711,907.84, 982,434.42 and 389,638.70

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Solution

The fourth proportional to 711,907.84, 982,434.42 and 389,638.70 is: 537,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,907.84 : 982,434.42 = 389,638.70 : x
  2. Step 2: Convert to fraction form
    711,907.84/982,434.42 = 389,638.70/x
  3. Step 3: Cross multiply
    711,907.84x = 982,434.42 × 389,638.70
  4. Step 4: Simplify right side
    711,907.84x = 382,794,474,542.21
  5. Step 5: Solve for x
    x = 382,794,474,542.21/711,907.84
  6. Step 6: Final answer
    x = 537,702.29

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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.