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Finding the Fourth Proportional to 702,467, 969,178.18 and 430,251.12

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Solution

The fourth proportional to 702,467, 969,178.18 and 430,251.12 is: 593,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,467 : 969,178.18 = 430,251.12 : x
  2. Step 2: Convert to fraction form
    702,467/969,178.18 = 430,251.12/x
  3. Step 3: Cross multiply
    702,467x = 969,178.18 × 430,251.12
  4. Step 4: Simplify right side
    702,467x = 416,989,997,424.56
  5. Step 5: Solve for x
    x = 416,989,997,424.56/702,467
  6. Step 6: Final answer
    x = 593,607.95

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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.