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Finding the Fourth Proportional to 510,870.94, 705,023.76 and 284,516.44

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Solution

The fourth proportional to 510,870.94, 705,023.76 and 284,516.44 is: 392,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,870.94 : 705,023.76 = 284,516.44 : x
  2. Step 2: Convert to fraction form
    510,870.94/705,023.76 = 284,516.44/x
  3. Step 3: Cross multiply
    510,870.94x = 705,023.76 × 284,516.44
  4. Step 4: Simplify right side
    510,870.94x = 200,590,850,310.61
  5. Step 5: Solve for x
    x = 200,590,850,310.61/510,870.94
  6. Step 6: Final answer
    x = 392,644.86

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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.