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Finding the Fourth Proportional to 542,271.90, 813,403.74 and 163,191

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Solution

The fourth proportional to 542,271.90, 813,403.74 and 163,191 is: 244,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,271.90 : 813,403.74 = 163,191 : x
  2. Step 2: Convert to fraction form
    542,271.90/813,403.74 = 163,191/x
  3. Step 3: Cross multiply
    542,271.90x = 813,403.74 × 163,191
  4. Step 4: Simplify right side
    542,271.90x = 132,740,169,734.34
  5. Step 5: Solve for x
    x = 132,740,169,734.34/542,271.90
  6. Step 6: Final answer
    x = 244,785.26

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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.