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Finding the Fourth Proportional to 510,439.66, 704,394.75 and 284,080.30

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Solution

The fourth proportional to 510,439.66, 704,394.75 and 284,080.30 is: 392,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,439.66 : 704,394.75 = 284,080.30 : x
  2. Step 2: Convert to fraction form
    510,439.66/704,394.75 = 284,080.30/x
  3. Step 3: Cross multiply
    510,439.66x = 704,394.75 × 284,080.30
  4. Step 4: Simplify right side
    510,439.66x = 200,104,671,898.43
  5. Step 5: Solve for x
    x = 200,104,671,898.43/510,439.66
  6. Step 6: Final answer
    x = 392,024.15

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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.