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Finding the Fourth Proportional to 510,830.52, 704,895.66 and 284,497.08

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Solution

The fourth proportional to 510,830.52, 704,895.66 and 284,497.08 is: 392,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,830.52 : 704,895.66 = 284,497.08 : x
  2. Step 2: Convert to fraction form
    510,830.52/704,895.66 = 284,497.08/x
  3. Step 3: Cross multiply
    510,830.52x = 704,895.66 × 284,497.08
  4. Step 4: Simplify right side
    510,830.52x = 200,540,756,974.67
  5. Step 5: Solve for x
    x = 200,540,756,974.67/510,830.52
  6. Step 6: Final answer
    x = 392,577.87

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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.