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Finding the Fourth Proportional to 458,580.96, 687,509.67 and 289,745.47

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Solution

The fourth proportional to 458,580.96, 687,509.67 and 289,745.47 is: 434,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,580.96 : 687,509.67 = 289,745.47 : x
  2. Step 2: Convert to fraction form
    458,580.96/687,509.67 = 289,745.47/x
  3. Step 3: Cross multiply
    458,580.96x = 687,509.67 × 289,745.47
  4. Step 4: Simplify right side
    458,580.96x = 199,202,812,463.70
  5. Step 5: Solve for x
    x = 199,202,812,463.70/458,580.96
  6. Step 6: Final answer
    x = 434,389.63

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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.