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Finding the Fourth Proportional to 702,620.50, 969,747.65 and 400,814.50

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Solution

The fourth proportional to 702,620.50, 969,747.65 and 400,814.50 is: 553,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,620.50 : 969,747.65 = 400,814.50 : x
  2. Step 2: Convert to fraction form
    702,620.50/969,747.65 = 400,814.50/x
  3. Step 3: Cross multiply
    702,620.50x = 969,747.65 × 400,814.50
  4. Step 4: Simplify right side
    702,620.50x = 388,688,919,460.93
  5. Step 5: Solve for x
    x = 388,688,919,460.93/702,620.50
  6. Step 6: Final answer
    x = 553,198.95

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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.