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Finding the Fourth Proportional to 420,325.31, 630,493.47 and 139,842.56

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Solution

The fourth proportional to 420,325.31, 630,493.47 and 139,842.56 is: 209,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,325.31 : 630,493.47 = 139,842.56 : x
  2. Step 2: Convert to fraction form
    420,325.31/630,493.47 = 139,842.56/x
  3. Step 3: Cross multiply
    420,325.31x = 630,493.47 × 139,842.56
  4. Step 4: Simplify right side
    420,325.31x = 88,169,822,484.32
  5. Step 5: Solve for x
    x = 88,169,822,484.32/420,325.31
  6. Step 6: Final answer
    x = 209,765.67

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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.