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Finding the Fourth Proportional to 492,195.10, 689,539.70 and 492,195.10

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Solution

The fourth proportional to 492,195.10, 689,539.70 and 492,195.10 is: 689,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,195.10 : 689,539.70 = 492,195.10 : x
  2. Step 2: Convert to fraction form
    492,195.10/689,539.70 = 492,195.10/x
  3. Step 3: Cross multiply
    492,195.10x = 689,539.70 × 492,195.10
  4. Step 4: Simplify right side
    492,195.10x = 339,388,061,595.47
  5. Step 5: Solve for x
    x = 339,388,061,595.47/492,195.10
  6. Step 6: Final answer
    x = 689,539.70

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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.