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Finding the Fourth Proportional to 702,691.81, 969,714.50 and 380,401.67

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Solution

The fourth proportional to 702,691.81, 969,714.50 and 380,401.67 is: 524,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,691.81 : 969,714.50 = 380,401.67 : x
  2. Step 2: Convert to fraction form
    702,691.81/969,714.50 = 380,401.67/x
  3. Step 3: Cross multiply
    702,691.81x = 969,714.50 × 380,401.67
  4. Step 4: Simplify right side
    702,691.81x = 368,881,015,223.22
  5. Step 5: Solve for x
    x = 368,881,015,223.22/702,691.81
  6. Step 6: Final answer
    x = 524,954.20

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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.