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Finding the Fourth Proportional to 985,649, 1,478,655.80 and 311,899.92

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Solution

The fourth proportional to 985,649, 1,478,655.80 and 311,899.92 is: 467,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,649 : 1,478,655.80 = 311,899.92 : x
  2. Step 2: Convert to fraction form
    985,649/1,478,655.80 = 311,899.92/x
  3. Step 3: Cross multiply
    985,649x = 1,478,655.80 × 311,899.92
  4. Step 4: Simplify right side
    985,649x = 461,192,625,727.54
  5. Step 5: Solve for x
    x = 461,192,625,727.54/985,649
  6. Step 6: Final answer
    x = 467,907.57

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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.