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Finding the Fourth Proportional to 542,841, 813,431.12 and 290,157.44

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Solution

The fourth proportional to 542,841, 813,431.12 and 290,157.44 is: 434,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,841 : 813,431.12 = 290,157.44 : x
  2. Step 2: Convert to fraction form
    542,841/813,431.12 = 290,157.44/x
  3. Step 3: Cross multiply
    542,841x = 813,431.12 × 290,157.44
  4. Step 4: Simplify right side
    542,841x = 236,023,091,395.53
  5. Step 5: Solve for x
    x = 236,023,091,395.53/542,841
  6. Step 6: Final answer
    x = 434,792.31

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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.