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Finding the Fourth Proportional to 510,860.13, 705,008.84 and 284,505.63

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Solution

The fourth proportional to 510,860.13, 705,008.84 and 284,505.63 is: 392,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,860.13 : 705,008.84 = 284,505.63 : x
  2. Step 2: Convert to fraction form
    510,860.13/705,008.84 = 284,505.63/x
  3. Step 3: Cross multiply
    510,860.13x = 705,008.84 × 284,505.63
  4. Step 4: Simplify right side
    510,860.13x = 200,578,984,179.77
  5. Step 5: Solve for x
    x = 200,578,984,179.77/510,860.13
  6. Step 6: Final answer
    x = 392,629.94

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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.