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Finding the Fourth Proportional to 354,483.36, 489,350.16 and 305,892

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Solution

The fourth proportional to 354,483.36, 489,350.16 and 305,892 is: 422,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,483.36 : 489,350.16 = 305,892 : x
  2. Step 2: Convert to fraction form
    354,483.36/489,350.16 = 305,892/x
  3. Step 3: Cross multiply
    354,483.36x = 489,350.16 × 305,892
  4. Step 4: Simplify right side
    354,483.36x = 149,688,299,142.72
  5. Step 5: Solve for x
    x = 149,688,299,142.72/354,483.36
  6. Step 6: Final answer
    x = 422,271.72

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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.