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Finding the Fourth Proportional to 683,488.64, 943,329.47 and 397,174.81

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Solution

The fourth proportional to 683,488.64, 943,329.47 and 397,174.81 is: 548,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,488.64 : 943,329.47 = 397,174.81 : x
  2. Step 2: Convert to fraction form
    683,488.64/943,329.47 = 397,174.81/x
  3. Step 3: Cross multiply
    683,488.64x = 943,329.47 × 397,174.81
  4. Step 4: Simplify right side
    683,488.64x = 374,666,700,089.94
  5. Step 5: Solve for x
    x = 374,666,700,089.94/683,488.64
  6. Step 6: Final answer
    x = 548,168.14

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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.