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Finding the Fourth Proportional to 489,205.70, 683,488.30 and 489,205.70

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Solution

The fourth proportional to 489,205.70, 683,488.30 and 489,205.70 is: 683,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,205.70 : 683,488.30 = 489,205.70 : x
  2. Step 2: Convert to fraction form
    489,205.70/683,488.30 = 489,205.70/x
  3. Step 3: Cross multiply
    489,205.70x = 683,488.30 × 489,205.70
  4. Step 4: Simplify right side
    489,205.70x = 334,366,372,243.31
  5. Step 5: Solve for x
    x = 334,366,372,243.31/489,205.70
  6. Step 6: Final answer
    x = 683,488.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.