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Finding the Fourth Proportional to 657,289.80, 985,967.10 and 342,361.80

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Solution

The fourth proportional to 657,289.80, 985,967.10 and 342,361.80 is: 513,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,289.80 : 985,967.10 = 342,361.80 : x
  2. Step 2: Convert to fraction form
    657,289.80/985,967.10 = 342,361.80/x
  3. Step 3: Cross multiply
    657,289.80x = 985,967.10 × 342,361.80
  4. Step 4: Simplify right side
    657,289.80x = 337,557,471,096.78
  5. Step 5: Solve for x
    x = 337,557,471,096.78/657,289.80
  6. Step 6: Final answer
    x = 513,559.58

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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.