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Finding the Fourth Proportional to 515,834.70, 773,364.87 and 178,756.98

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Solution

The fourth proportional to 515,834.70, 773,364.87 and 178,756.98 is: 268,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,834.70 : 773,364.87 = 178,756.98 : x
  2. Step 2: Convert to fraction form
    515,834.70/773,364.87 = 178,756.98/x
  3. Step 3: Cross multiply
    515,834.70x = 773,364.87 × 178,756.98
  4. Step 4: Simplify right side
    515,834.70x = 138,244,368,599.29
  5. Step 5: Solve for x
    x = 138,244,368,599.29/515,834.70
  6. Step 6: Final answer
    x = 268,001.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.