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Finding the Fourth Proportional to 492,898.40, 691,924 and 492,898.40

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Solution

The fourth proportional to 492,898.40, 691,924 and 492,898.40 is: 691,924

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,898.40 : 691,924 = 492,898.40 : x
  2. Step 2: Convert to fraction form
    492,898.40/691,924 = 492,898.40/x
  3. Step 3: Cross multiply
    492,898.40x = 691,924 × 492,898.40
  4. Step 4: Simplify right side
    492,898.40x = 341,048,232,521.60
  5. Step 5: Solve for x
    x = 341,048,232,521.60/492,898.40
  6. Step 6: Final answer
    x = 691,924

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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.