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Finding the Fourth Proportional to 542,112.60, 813,107.36 and 142,784.62

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Solution

The fourth proportional to 542,112.60, 813,107.36 and 142,784.62 is: 214,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,112.60 : 813,107.36 = 142,784.62 : x
  2. Step 2: Convert to fraction form
    542,112.60/813,107.36 = 142,784.62/x
  3. Step 3: Cross multiply
    542,112.60x = 813,107.36 × 142,784.62
  4. Step 4: Simplify right side
    542,112.60x = 116,099,225,416.80
  5. Step 5: Solve for x
    x = 116,099,225,416.80/542,112.60
  6. Step 6: Final answer
    x = 214,160.72

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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.