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Finding the Fourth Proportional to 554,135.88, 764,661.42 and 312,478.05

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Solution

The fourth proportional to 554,135.88, 764,661.42 and 312,478.05 is: 431,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,135.88 : 764,661.42 = 312,478.05 : x
  2. Step 2: Convert to fraction form
    554,135.88/764,661.42 = 312,478.05/x
  3. Step 3: Cross multiply
    554,135.88x = 764,661.42 × 312,478.05
  4. Step 4: Simplify right side
    554,135.88x = 238,939,909,431.83
  5. Step 5: Solve for x
    x = 238,939,909,431.83/554,135.88
  6. Step 6: Final answer
    x = 431,193.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.