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Finding the Fourth Proportional to 702,707.64, 969,732.11 and 380,415.39

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Solution

The fourth proportional to 702,707.64, 969,732.11 and 380,415.39 is: 524,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,707.64 : 969,732.11 = 380,415.39 : x
  2. Step 2: Convert to fraction form
    702,707.64/969,732.11 = 380,415.39/x
  3. Step 3: Cross multiply
    702,707.64x = 969,732.11 × 380,415.39
  4. Step 4: Simplify right side
    702,707.64x = 368,901,016,919.10
  5. Step 5: Solve for x
    x = 368,901,016,919.10/702,707.64
  6. Step 6: Final answer
    x = 524,970.84

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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.