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Finding the Fourth Proportional to 510,967.86, 705,126.51 and 284,608.50

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Solution

The fourth proportional to 510,967.86, 705,126.51 and 284,608.50 is: 392,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,967.86 : 705,126.51 = 284,608.50 : x
  2. Step 2: Convert to fraction form
    510,967.86/705,126.51 = 284,608.50/x
  3. Step 3: Cross multiply
    510,967.86x = 705,126.51 × 284,608.50
  4. Step 4: Simplify right side
    510,967.86x = 200,684,998,321.34
  5. Step 5: Solve for x
    x = 200,684,998,321.34/510,967.86
  6. Step 6: Final answer
    x = 392,754.64

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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.