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Finding the Fourth Proportional to 665,282.48, 997,468.16 and 238,808.80

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Solution

The fourth proportional to 665,282.48, 997,468.16 and 238,808.80 is: 358,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,282.48 : 997,468.16 = 238,808.80 : x
  2. Step 2: Convert to fraction form
    665,282.48/997,468.16 = 238,808.80/x
  3. Step 3: Cross multiply
    665,282.48x = 997,468.16 × 238,808.80
  4. Step 4: Simplify right side
    665,282.48x = 238,204,174,327.81
  5. Step 5: Solve for x
    x = 238,204,174,327.81/665,282.48
  6. Step 6: Final answer
    x = 358,049.67

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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.