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Finding the Fourth Proportional to 478,932, 718,401.60 and 212,620.80

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Solution

The fourth proportional to 478,932, 718,401.60 and 212,620.80 is: 318,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,932 : 718,401.60 = 212,620.80 : x
  2. Step 2: Convert to fraction form
    478,932/718,401.60 = 212,620.80/x
  3. Step 3: Cross multiply
    478,932x = 718,401.60 × 212,620.80
  4. Step 4: Simplify right side
    478,932x = 152,747,122,913.28
  5. Step 5: Solve for x
    x = 152,747,122,913.28/478,932
  6. Step 6: Final answer
    x = 318,932.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.