Home / 1,002,906,009.40-1,504,359,014.10-312,812,156.20

Finding the Fourth Proportional to 1,002,906,009.40, 1,504,359,014.10 and 312,812,156.20

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Solution

The fourth proportional to 1,002,906,009.40, 1,504,359,014.10 and 312,812,156.20 is: 469,218,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,906,009.40 : 1,504,359,014.10 = 312,812,156.20 : x
  2. Step 2: Convert to fraction form
    1,002,906,009.40/1,504,359,014.10 = 312,812,156.20/x
  3. Step 3: Cross multiply
    1,002,906,009.40x = 1,504,359,014.10 × 312,812,156.20
  4. Step 4: Simplify right side
    1,002,906,009.40x = 470,581,786,899,527,168
  5. Step 5: Solve for x
    x = 470,581,786,899,527,168/1,002,906,009.40
  6. Step 6: Final answer
    x = 469,218,234.30

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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.