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Finding the Fourth Proportional to 279,430,760.80, 419,146,141.20 and 97,658,984.80

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Solution

The fourth proportional to 279,430,760.80, 419,146,141.20 and 97,658,984.80 is: 146,488,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,430,760.80 : 419,146,141.20 = 97,658,984.80 : x
  2. Step 2: Convert to fraction form
    279,430,760.80/419,146,141.20 = 97,658,984.80/x
  3. Step 3: Cross multiply
    279,430,760.80x = 419,146,141.20 × 97,658,984.80
  4. Step 4: Simplify right side
    279,430,760.80x = 40,933,386,632,429,448
  5. Step 5: Solve for x
    x = 40,933,386,632,429,448/279,430,760.80
  6. Step 6: Final answer
    x = 146,488,477.20

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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.