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Finding the Fourth Proportional to 702,708.14, 969,732.80 and 380,415.90

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Solution

The fourth proportional to 702,708.14, 969,732.80 and 380,415.90 is: 524,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,708.14 : 969,732.80 = 380,415.90 : x
  2. Step 2: Convert to fraction form
    702,708.14/969,732.80 = 380,415.90/x
  3. Step 3: Cross multiply
    702,708.14x = 969,732.80 × 380,415.90
  4. Step 4: Simplify right side
    702,708.14x = 368,901,775,871.52
  5. Step 5: Solve for x
    x = 368,901,775,871.52/702,708.14
  6. Step 6: Final answer
    x = 524,971.54

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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.