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Finding the Fourth Proportional to 510,632.64, 704,674.08 and 284,286.24

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Solution

The fourth proportional to 510,632.64, 704,674.08 and 284,286.24 is: 392,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,632.64 : 704,674.08 = 284,286.24 : x
  2. Step 2: Convert to fraction form
    510,632.64/704,674.08 = 284,286.24/x
  3. Step 3: Cross multiply
    510,632.64x = 704,674.08 × 284,286.24
  4. Step 4: Simplify right side
    510,632.64x = 200,329,144,628.66
  5. Step 5: Solve for x
    x = 200,329,144,628.66/510,632.64
  6. Step 6: Final answer
    x = 392,315.59

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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.