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Finding the Fourth Proportional to 510,861.94, 705,011.35 and 284,507.44

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Solution

The fourth proportional to 510,861.94, 705,011.35 and 284,507.44 is: 392,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,861.94 : 705,011.35 = 284,507.44 : x
  2. Step 2: Convert to fraction form
    510,861.94/705,011.35 = 284,507.44/x
  3. Step 3: Cross multiply
    510,861.94x = 705,011.35 × 284,507.44
  4. Step 4: Simplify right side
    510,861.94x = 200,580,974,359.44
  5. Step 5: Solve for x
    x = 200,580,974,359.44/510,861.94
  6. Step 6: Final answer
    x = 392,632.45

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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.