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Finding the Fourth Proportional to 586,741.57, 809,442.87 and 382,745.50

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Solution

The fourth proportional to 586,741.57, 809,442.87 and 382,745.50 is: 528,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,741.57 : 809,442.87 = 382,745.50 : x
  2. Step 2: Convert to fraction form
    586,741.57/809,442.87 = 382,745.50/x
  3. Step 3: Cross multiply
    586,741.57x = 809,442.87 × 382,745.50
  4. Step 4: Simplify right side
    586,741.57x = 309,810,619,246.74
  5. Step 5: Solve for x
    x = 309,810,619,246.74/586,741.57
  6. Step 6: Final answer
    x = 528,018.86

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