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Finding the Fourth Proportional to 510,431.64, 704,380.90 and 284,072.28

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Solution

The fourth proportional to 510,431.64, 704,380.90 and 284,072.28 is: 392,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,431.64 : 704,380.90 = 284,072.28 : x
  2. Step 2: Convert to fraction form
    510,431.64/704,380.90 = 284,072.28/x
  3. Step 3: Cross multiply
    510,431.64x = 704,380.90 × 284,072.28
  4. Step 4: Simplify right side
    510,431.64x = 200,095,088,251.45
  5. Step 5: Solve for x
    x = 200,095,088,251.45/510,431.64
  6. Step 6: Final answer
    x = 392,011.53

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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.