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Finding the Fourth Proportional to 510,860.94, 705,009.97 and 284,506.44

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Solution

The fourth proportional to 510,860.94, 705,009.97 and 284,506.44 is: 392,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,860.94 : 705,009.97 = 284,506.44 : x
  2. Step 2: Convert to fraction form
    510,860.94/705,009.97 = 284,506.44/x
  3. Step 3: Cross multiply
    510,860.94x = 705,009.97 × 284,506.44
  4. Step 4: Simplify right side
    510,860.94x = 200,579,876,017.94
  5. Step 5: Solve for x
    x = 200,579,876,017.94/510,860.94
  6. Step 6: Final answer
    x = 392,631.07

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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.