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Finding the Fourth Proportional to 576,678.35, 865,202.61 and 277,180.65

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Solution

The fourth proportional to 576,678.35, 865,202.61 and 277,180.65 is: 415,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,678.35 : 865,202.61 = 277,180.65 : x
  2. Step 2: Convert to fraction form
    576,678.35/865,202.61 = 277,180.65/x
  3. Step 3: Cross multiply
    576,678.35x = 865,202.61 × 277,180.65
  4. Step 4: Simplify right side
    576,678.35x = 239,817,421,821.50
  5. Step 5: Solve for x
    x = 239,817,421,821.50/576,678.35
  6. Step 6: Final answer
    x = 415,859.94

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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.