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Finding the Fourth Proportional to 542,843, 813,434.12 and 290,159.44

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Solution

The fourth proportional to 542,843, 813,434.12 and 290,159.44 is: 434,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,843 : 813,434.12 = 290,159.44 : x
  2. Step 2: Convert to fraction form
    542,843/813,434.12 = 290,159.44/x
  3. Step 3: Cross multiply
    542,843x = 813,434.12 × 290,159.44
  4. Step 4: Simplify right side
    542,843x = 236,025,588,736.09
  5. Step 5: Solve for x
    x = 236,025,588,736.09/542,843
  6. Step 6: Final answer
    x = 434,795.31

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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.