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Finding the Fourth Proportional to 542,565, 813,847.50 and 210,141

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Solution

The fourth proportional to 542,565, 813,847.50 and 210,141 is: 315,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,565 : 813,847.50 = 210,141 : x
  2. Step 2: Convert to fraction form
    542,565/813,847.50 = 210,141/x
  3. Step 3: Cross multiply
    542,565x = 813,847.50 × 210,141
  4. Step 4: Simplify right side
    542,565x = 171,022,727,497.50
  5. Step 5: Solve for x
    x = 171,022,727,497.50/542,565
  6. Step 6: Final answer
    x = 315,211.50

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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.