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Finding the Fourth Proportional to 402,505,228.80, 603,438,978.60 and 220,752,406.80

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Solution

The fourth proportional to 402,505,228.80, 603,438,978.60 and 220,752,406.80 is: 330,953,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,505,228.80 : 603,438,978.60 = 220,752,406.80 : x
  2. Step 2: Convert to fraction form
    402,505,228.80/603,438,978.60 = 220,752,406.80/x
  3. Step 3: Cross multiply
    402,505,228.80x = 603,438,978.60 × 220,752,406.80
  4. Step 4: Simplify right side
    402,505,228.80x = 133,210,606,882,883,712
  5. Step 5: Solve for x
    x = 133,210,606,882,883,712/402,505,228.80
  6. Step 6: Final answer
    x = 330,953,730.17

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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.