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Finding the Fourth Proportional to 520,039,020.80, 780,174,004.80 and 174,982,908.80

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Solution

The fourth proportional to 520,039,020.80, 780,174,004.80 and 174,982,908.80 is: 262,513,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,039,020.80 : 780,174,004.80 = 174,982,908.80 : x
  2. Step 2: Convert to fraction form
    520,039,020.80/780,174,004.80 = 174,982,908.80/x
  3. Step 3: Cross multiply
    520,039,020.80x = 780,174,004.80 × 174,982,908.80
  4. Step 4: Simplify right side
    520,039,020.80x = 136,517,116,730,049,168
  5. Step 5: Solve for x
    x = 136,517,116,730,049,168/520,039,020.80
  6. Step 6: Final answer
    x = 262,513,217.80

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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.