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Finding the Fourth Proportional to 510,893.08, 705,054.36 and 284,538.64

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Solution

The fourth proportional to 510,893.08, 705,054.36 and 284,538.64 is: 392,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,893.08 : 705,054.36 = 284,538.64 : x
  2. Step 2: Convert to fraction form
    510,893.08/705,054.36 = 284,538.64/x
  3. Step 3: Cross multiply
    510,893.08x = 705,054.36 × 284,538.64
  4. Step 4: Simplify right side
    510,893.08x = 200,615,208,720.47
  5. Step 5: Solve for x
    x = 200,615,208,720.47/510,893.08
  6. Step 6: Final answer
    x = 392,675.53

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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.