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Finding the Fourth Proportional to 546,749.60, 820,738.80 and 422,640.80

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Solution

The fourth proportional to 546,749.60, 820,738.80 and 422,640.80 is: 634,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,749.60 : 820,738.80 = 422,640.80 : x
  2. Step 2: Convert to fraction form
    546,749.60/820,738.80 = 422,640.80/x
  3. Step 3: Cross multiply
    546,749.60x = 820,738.80 × 422,640.80
  4. Step 4: Simplify right side
    546,749.60x = 346,877,703,023.04
  5. Step 5: Solve for x
    x = 346,877,703,023.04/546,749.60
  6. Step 6: Final answer
    x = 634,436.13

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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.