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Finding the Fourth Proportional to 457,072.74, 685,725.75 and 289,781.82

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Solution

The fourth proportional to 457,072.74, 685,725.75 and 289,781.82 is: 434,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,072.74 : 685,725.75 = 289,781.82 : x
  2. Step 2: Convert to fraction form
    457,072.74/685,725.75 = 289,781.82/x
  3. Step 3: Cross multiply
    457,072.74x = 685,725.75 × 289,781.82
  4. Step 4: Simplify right side
    457,072.74x = 198,710,855,855.87
  5. Step 5: Solve for x
    x = 198,710,855,855.87/457,072.74
  6. Step 6: Final answer
    x = 434,746.68

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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.