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Finding the Fourth Proportional to 510,876.41, 705,009.45 and 284,521.91

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Solution

The fourth proportional to 510,876.41, 705,009.45 and 284,521.91 is: 392,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,876.41 : 705,009.45 = 284,521.91 : x
  2. Step 2: Convert to fraction form
    510,876.41/705,009.45 = 284,521.91/x
  3. Step 3: Cross multiply
    510,876.41x = 705,009.45 × 284,521.91
  4. Step 4: Simplify right side
    510,876.41x = 200,590,635,282.05
  5. Step 5: Solve for x
    x = 200,590,635,282.05/510,876.41
  6. Step 6: Final answer
    x = 392,640.24

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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.