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Finding the Fourth Proportional to 702,835.81, 969,909 and 380,544.91

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Solution

The fourth proportional to 702,835.81, 969,909 and 380,544.91 is: 525,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,835.81 : 969,909 = 380,544.91 : x
  2. Step 2: Convert to fraction form
    702,835.81/969,909 = 380,544.91/x
  3. Step 3: Cross multiply
    702,835.81x = 969,909 × 380,544.91
  4. Step 4: Simplify right side
    702,835.81x = 369,093,933,113.19
  5. Step 5: Solve for x
    x = 369,093,933,113.19/702,835.81
  6. Step 6: Final answer
    x = 525,149.58

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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.