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Finding the Fourth Proportional to 546,746.60, 820,734.30 and 422,637.80

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Solution

The fourth proportional to 546,746.60, 820,734.30 and 422,637.80 is: 634,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,746.60 : 820,734.30 = 422,637.80 : x
  2. Step 2: Convert to fraction form
    546,746.60/820,734.30 = 422,637.80/x
  3. Step 3: Cross multiply
    546,746.60x = 820,734.30 × 422,637.80
  4. Step 4: Simplify right side
    546,746.60x = 346,873,338,936.54
  5. Step 5: Solve for x
    x = 346,873,338,936.54/546,746.60
  6. Step 6: Final answer
    x = 634,431.63

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1.5x scale

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.