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Finding the Fourth Proportional to 283,194.96, 390,800.88 and 155,867.82

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Solution

The fourth proportional to 283,194.96, 390,800.88 and 155,867.82 is: 215,093.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,194.96 : 390,800.88 = 155,867.82 : x
  2. Step 2: Convert to fraction form
    283,194.96/390,800.88 = 155,867.82/x
  3. Step 3: Cross multiply
    283,194.96x = 390,800.88 × 155,867.82
  4. Step 4: Simplify right side
    283,194.96x = 60,913,281,219.68
  5. Step 5: Solve for x
    x = 60,913,281,219.68/283,194.96
  6. Step 6: Final answer
    x = 215,093.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.