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Finding the Fourth Proportional to 489,054.10, 683,846.30 and 489,054.10

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Solution

The fourth proportional to 489,054.10, 683,846.30 and 489,054.10 is: 683,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,054.10 : 683,846.30 = 489,054.10 : x
  2. Step 2: Convert to fraction form
    489,054.10/683,846.30 = 489,054.10/x
  3. Step 3: Cross multiply
    489,054.10x = 683,846.30 × 489,054.10
  4. Step 4: Simplify right side
    489,054.10x = 334,437,836,784.83
  5. Step 5: Solve for x
    x = 334,437,836,784.83/489,054.10
  6. Step 6: Final answer
    x = 683,846.30

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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.