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Finding the Fourth Proportional to 289,402.89, 399,023.10 and 212,688.42

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Solution

The fourth proportional to 289,402.89, 399,023.10 and 212,688.42 is: 293,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,402.89 : 399,023.10 = 212,688.42 : x
  2. Step 2: Convert to fraction form
    289,402.89/399,023.10 = 212,688.42/x
  3. Step 3: Cross multiply
    289,402.89x = 399,023.10 × 212,688.42
  4. Step 4: Simplify right side
    289,402.89x = 84,867,592,682.50
  5. Step 5: Solve for x
    x = 84,867,592,682.50/289,402.89
  6. Step 6: Final answer
    x = 293,250.67

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1.5x scale

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.