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Finding the Fourth Proportional to 510,870.75, 705,023.52 and 284,516.25

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Solution

The fourth proportional to 510,870.75, 705,023.52 and 284,516.25 is: 392,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,870.75 : 705,023.52 = 284,516.25 : x
  2. Step 2: Convert to fraction form
    510,870.75/705,023.52 = 284,516.25/x
  3. Step 3: Cross multiply
    510,870.75x = 705,023.52 × 284,516.25
  4. Step 4: Simplify right side
    510,870.75x = 200,590,648,072.20
  5. Step 5: Solve for x
    x = 200,590,648,072.20/510,870.75
  6. Step 6: Final answer
    x = 392,644.61

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1.5x scale

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.