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Finding the Fourth Proportional to 649,718.24, 972,676.89 and 379,018.67

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Solution

The fourth proportional to 649,718.24, 972,676.89 and 379,018.67 is: 567,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,718.24 : 972,676.89 = 379,018.67 : x
  2. Step 2: Convert to fraction form
    649,718.24/972,676.89 = 379,018.67/x
  3. Step 3: Cross multiply
    649,718.24x = 972,676.89 × 379,018.67
  4. Step 4: Simplify right side
    649,718.24x = 368,662,696,324.15
  5. Step 5: Solve for x
    x = 368,662,696,324.15/649,718.24
  6. Step 6: Final answer
    x = 567,419.35

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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.