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Finding the Fourth Proportional to 486,521,811.20, 728,765,270.40 and 227,957,715.20

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Solution

The fourth proportional to 486,521,811.20, 728,765,270.40 and 227,957,715.20 is: 341,459,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,521,811.20 : 728,765,270.40 = 227,957,715.20 : x
  2. Step 2: Convert to fraction form
    486,521,811.20/728,765,270.40 = 227,957,715.20/x
  3. Step 3: Cross multiply
    486,521,811.20x = 728,765,270.40 × 227,957,715.20
  4. Step 4: Simplify right side
    486,521,811.20x = 166,127,665,957,494,176
  5. Step 5: Solve for x
    x = 166,127,665,957,494,176/486,521,811.20
  6. Step 6: Final answer
    x = 341,459,852.64

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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.