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Finding the Fourth Proportional to 509,495.25, 701,888.25 and 356,246.70

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Solution

The fourth proportional to 509,495.25, 701,888.25 and 356,246.70 is: 490,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,495.25 : 701,888.25 = 356,246.70 : x
  2. Step 2: Convert to fraction form
    509,495.25/701,888.25 = 356,246.70/x
  3. Step 3: Cross multiply
    509,495.25x = 701,888.25 × 356,246.70
  4. Step 4: Simplify right side
    509,495.25x = 250,045,372,831.28
  5. Step 5: Solve for x
    x = 250,045,372,831.28/509,495.25
  6. Step 6: Final answer
    x = 490,770.76

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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.