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Finding the Fourth Proportional to 702,395.96, 969,308.86 and 380,105.97

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Solution

The fourth proportional to 702,395.96, 969,308.86 and 380,105.97 is: 524,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,395.96 : 969,308.86 = 380,105.97 : x
  2. Step 2: Convert to fraction form
    702,395.96/969,308.86 = 380,105.97/x
  3. Step 3: Cross multiply
    702,395.96x = 969,308.86 × 380,105.97
  4. Step 4: Simplify right side
    702,395.96x = 368,440,080,587.42
  5. Step 5: Solve for x
    x = 368,440,080,587.42/702,395.96
  6. Step 6: Final answer
    x = 524,547.55

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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.