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Finding the Fourth Proportional to 702,898.34, 969,998.32 and 380,607.44

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Solution

The fourth proportional to 702,898.34, 969,998.32 and 380,607.44 is: 525,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,898.34 : 969,998.32 = 380,607.44 : x
  2. Step 2: Convert to fraction form
    702,898.34/969,998.32 = 380,607.44/x
  3. Step 3: Cross multiply
    702,898.34x = 969,998.32 × 380,607.44
  4. Step 4: Simplify right side
    702,898.34x = 369,188,577,379.50
  5. Step 5: Solve for x
    x = 369,188,577,379.50/702,898.34
  6. Step 6: Final answer
    x = 525,237.51

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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.