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Finding the Fourth Proportional to 417,400.58, 626,094.80 and 289,198.64

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Solution

The fourth proportional to 417,400.58, 626,094.80 and 289,198.64 is: 433,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,400.58 : 626,094.80 = 289,198.64 : x
  2. Step 2: Convert to fraction form
    417,400.58/626,094.80 = 289,198.64/x
  3. Step 3: Cross multiply
    417,400.58x = 626,094.80 × 289,198.64
  4. Step 4: Simplify right side
    417,400.58x = 181,065,764,671.07
  5. Step 5: Solve for x
    x = 181,065,764,671.07/417,400.58
  6. Step 6: Final answer
    x = 433,793.75

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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.