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Finding the Fourth Proportional to 1,151,958, 1,728,708.30 and 478,039.98

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Solution

The fourth proportional to 1,151,958, 1,728,708.30 and 478,039.98 is: 717,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,958 : 1,728,708.30 = 478,039.98 : x
  2. Step 2: Convert to fraction form
    1,151,958/1,728,708.30 = 478,039.98/x
  3. Step 3: Cross multiply
    1,151,958x = 1,728,708.30 × 478,039.98
  4. Step 4: Simplify right side
    1,151,958x = 826,391,681,157.83
  5. Step 5: Solve for x
    x = 826,391,681,157.83/1,151,958
  6. Step 6: Final answer
    x = 717,380.04

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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.