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Finding the Fourth Proportional to 312,039.70, 468,135.15 and 90,423.70

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Solution

The fourth proportional to 312,039.70, 468,135.15 and 90,423.70 is: 135,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,039.70 : 468,135.15 = 90,423.70 : x
  2. Step 2: Convert to fraction form
    312,039.70/468,135.15 = 90,423.70/x
  3. Step 3: Cross multiply
    312,039.70x = 468,135.15 × 90,423.70
  4. Step 4: Simplify right side
    312,039.70x = 42,330,512,363.06
  5. Step 5: Solve for x
    x = 42,330,512,363.06/312,039.70
  6. Step 6: Final answer
    x = 135,657.46

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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.