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Finding the Fourth Proportional to 546,859.60, 820,291.32 and 266,136.40

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Solution

The fourth proportional to 546,859.60, 820,291.32 and 266,136.40 is: 399,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,859.60 : 820,291.32 = 266,136.40 : x
  2. Step 2: Convert to fraction form
    546,859.60/820,291.32 = 266,136.40/x
  3. Step 3: Cross multiply
    546,859.60x = 820,291.32 × 266,136.40
  4. Step 4: Simplify right side
    546,859.60x = 218,309,378,856.05
  5. Step 5: Solve for x
    x = 218,309,378,856.05/546,859.60
  6. Step 6: Final answer
    x = 399,205.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.