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Finding the Fourth Proportional to 510,860.43, 705,009.26 and 284,505.93

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Solution

The fourth proportional to 510,860.43, 705,009.26 and 284,505.93 is: 392,630.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,860.43 : 705,009.26 = 284,505.93 : x
  2. Step 2: Convert to fraction form
    510,860.43/705,009.26 = 284,505.93/x
  3. Step 3: Cross multiply
    510,860.43x = 705,009.26 × 284,505.93
  4. Step 4: Simplify right side
    510,860.43x = 200,579,315,886.18
  5. Step 5: Solve for x
    x = 200,579,315,886.18/510,860.43
  6. Step 6: Final answer
    x = 392,630.36

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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.