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Finding the Fourth Proportional to 472,840,041.80, 709,260,062.70 and 408,216,816.20

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Solution

The fourth proportional to 472,840,041.80, 709,260,062.70 and 408,216,816.20 is: 612,325,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,840,041.80 : 709,260,062.70 = 408,216,816.20 : x
  2. Step 2: Convert to fraction form
    472,840,041.80/709,260,062.70 = 408,216,816.20/x
  3. Step 3: Cross multiply
    472,840,041.80x = 709,260,062.70 × 408,216,816.20
  4. Step 4: Simplify right side
    472,840,041.80x = 289,531,884,653,206,400
  5. Step 5: Solve for x
    x = 289,531,884,653,206,400/472,840,041.80
  6. Step 6: Final answer
    x = 612,325,224.30

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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.