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Finding the Fourth Proportional to 509,179.59, 702,690.08 and 282,825.09

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Solution

The fourth proportional to 509,179.59, 702,690.08 and 282,825.09 is: 390,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,179.59 : 702,690.08 = 282,825.09 : x
  2. Step 2: Convert to fraction form
    509,179.59/702,690.08 = 282,825.09/x
  3. Step 3: Cross multiply
    509,179.59x = 702,690.08 × 282,825.09
  4. Step 4: Simplify right side
    509,179.59x = 198,738,383,703.98
  5. Step 5: Solve for x
    x = 198,738,383,703.98/509,179.59
  6. Step 6: Final answer
    x = 390,310.98

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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.