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Finding the Fourth Proportional to 509,964,710.40, 764,947,065.60 and 164,953,213.20

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Solution

The fourth proportional to 509,964,710.40, 764,947,065.60 and 164,953,213.20 is: 247,429,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,964,710.40 : 764,947,065.60 = 164,953,213.20 : x
  2. Step 2: Convert to fraction form
    509,964,710.40/764,947,065.60 = 164,953,213.20/x
  3. Step 3: Cross multiply
    509,964,710.40x = 764,947,065.60 × 164,953,213.20
  4. Step 4: Simplify right side
    509,964,710.40x = 126,180,476,398,631,184
  5. Step 5: Solve for x
    x = 126,180,476,398,631,184/509,964,710.40
  6. Step 6: Final answer
    x = 247,429,819.80

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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.