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Finding the Fourth Proportional to 509,758, 703,466.88 and 283,403.56

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Solution

The fourth proportional to 509,758, 703,466.88 and 283,403.56 is: 391,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,758 : 703,466.88 = 283,403.56 : x
  2. Step 2: Convert to fraction form
    509,758/703,466.88 = 283,403.56/x
  3. Step 3: Cross multiply
    509,758x = 703,466.88 × 283,403.56
  4. Step 4: Simplify right side
    509,758x = 199,365,018,134.09
  5. Step 5: Solve for x
    x = 199,365,018,134.09/509,758
  6. Step 6: Final answer
    x = 391,097.38

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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.