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Finding the Fourth Proportional to 283,188.96, 390,792.60 and 155,861.82

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Solution

The fourth proportional to 283,188.96, 390,792.60 and 155,861.82 is: 215,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,188.96 : 390,792.60 = 155,861.82 : x
  2. Step 2: Convert to fraction form
    283,188.96/390,792.60 = 155,861.82/x
  3. Step 3: Cross multiply
    283,188.96x = 390,792.60 × 155,861.82
  4. Step 4: Simplify right side
    283,188.96x = 60,909,645,878.53
  5. Step 5: Solve for x
    x = 60,909,645,878.53/283,188.96
  6. Step 6: Final answer
    x = 215,084.82

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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.