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Finding the Fourth Proportional to 478,327.16, 716,998.44 and 212,213

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Solution

The fourth proportional to 478,327.16, 716,998.44 and 212,213 is: 318,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,327.16 : 716,998.44 = 212,213 : x
  2. Step 2: Convert to fraction form
    478,327.16/716,998.44 = 212,213/x
  3. Step 3: Cross multiply
    478,327.16x = 716,998.44 × 212,213
  4. Step 4: Simplify right side
    478,327.16x = 152,156,389,947.72
  5. Step 5: Solve for x
    x = 152,156,389,947.72/478,327.16
  6. Step 6: Final answer
    x = 318,101.09

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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.