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Finding the Fourth Proportional to 357,136.64, 492,864 and 213,920

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Solution

The fourth proportional to 357,136.64, 492,864 and 213,920 is: 295,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,136.64 : 492,864 = 213,920 : x
  2. Step 2: Convert to fraction form
    357,136.64/492,864 = 213,920/x
  3. Step 3: Cross multiply
    357,136.64x = 492,864 × 213,920
  4. Step 4: Simplify right side
    357,136.64x = 105,433,466,880
  5. Step 5: Solve for x
    x = 105,433,466,880/357,136.64
  6. Step 6: Final answer
    x = 295,218.85

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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.