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Finding the Fourth Proportional to 702,691.72, 969,714.37 and 380,401.58

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Solution

The fourth proportional to 702,691.72, 969,714.37 and 380,401.58 is: 524,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,691.72 : 969,714.37 = 380,401.58 : x
  2. Step 2: Convert to fraction form
    702,691.72/969,714.37 = 380,401.58/x
  3. Step 3: Cross multiply
    702,691.72x = 969,714.37 × 380,401.58
  4. Step 4: Simplify right side
    702,691.72x = 368,880,878,496.71
  5. Step 5: Solve for x
    x = 368,880,878,496.71/702,691.72
  6. Step 6: Final answer
    x = 524,954.07

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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.