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Finding the Fourth Proportional to 648,806.96, 973,419.12 and 311,872.16

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Solution

The fourth proportional to 648,806.96, 973,419.12 and 311,872.16 is: 467,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,806.96 : 973,419.12 = 311,872.16 : x
  2. Step 2: Convert to fraction form
    648,806.96/973,419.12 = 311,872.16/x
  3. Step 3: Cross multiply
    648,806.96x = 973,419.12 × 311,872.16
  4. Step 4: Simplify right side
    648,806.96x = 303,582,323,539.70
  5. Step 5: Solve for x
    x = 303,582,323,539.70/648,806.96
  6. Step 6: Final answer
    x = 467,908.55

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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.