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Finding the Fourth Proportional to 526,405.73, 789,958.91 and 286,580.12

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Solution

The fourth proportional to 526,405.73, 789,958.91 and 286,580.12 is: 430,060.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,405.73 : 789,958.91 = 286,580.12 : x
  2. Step 2: Convert to fraction form
    526,405.73/789,958.91 = 286,580.12/x
  3. Step 3: Cross multiply
    526,405.73x = 789,958.91 × 286,580.12
  4. Step 4: Simplify right side
    526,405.73x = 226,386,515,989.53
  5. Step 5: Solve for x
    x = 226,386,515,989.53/526,405.73
  6. Step 6: Final answer
    x = 430,060.89

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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.