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Finding the Fourth Proportional to 393,570.78, 543,285.27 and 259,754.46

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Solution

The fourth proportional to 393,570.78, 543,285.27 and 259,754.46 is: 358,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,570.78 : 543,285.27 = 259,754.46 : x
  2. Step 2: Convert to fraction form
    393,570.78/543,285.27 = 259,754.46/x
  3. Step 3: Cross multiply
    393,570.78x = 543,285.27 × 259,754.46
  4. Step 4: Simplify right side
    393,570.78x = 141,120,771,934.80
  5. Step 5: Solve for x
    x = 141,120,771,934.80/393,570.78
  6. Step 6: Final answer
    x = 358,565.17

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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.