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Finding the Fourth Proportional to 509,179.97, 702,690.59 and 282,825.47

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Solution

The fourth proportional to 509,179.97, 702,690.59 and 282,825.47 is: 390,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,179.97 : 702,690.59 = 282,825.47 : x
  2. Step 2: Convert to fraction form
    509,179.97/702,690.59 = 282,825.47/x
  3. Step 3: Cross multiply
    509,179.97x = 702,690.59 × 282,825.47
  4. Step 4: Simplify right side
    509,179.97x = 198,738,793,574.94
  5. Step 5: Solve for x
    x = 198,738,793,574.94/509,179.97
  6. Step 6: Final answer
    x = 390,311.50

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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.