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Finding the Fourth Proportional to 557,285.34, 769,289.21 and 376,242.51

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Solution

The fourth proportional to 557,285.34, 769,289.21 and 376,242.51 is: 519,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,285.34 : 769,289.21 = 376,242.51 : x
  2. Step 2: Convert to fraction form
    557,285.34/769,289.21 = 376,242.51/x
  3. Step 3: Cross multiply
    557,285.34x = 769,289.21 × 376,242.51
  4. Step 4: Simplify right side
    557,285.34x = 289,439,303,286.32
  5. Step 5: Solve for x
    x = 289,439,303,286.32/557,285.34
  6. Step 6: Final answer
    x = 519,373.62

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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.