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Finding the Fourth Proportional to 279,936,421.80, 419,904,632.70 and 85,846,295.40

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Solution

The fourth proportional to 279,936,421.80, 419,904,632.70 and 85,846,295.40 is: 128,769,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,421.80 : 419,904,632.70 = 85,846,295.40 : x
  2. Step 2: Convert to fraction form
    279,936,421.80/419,904,632.70 = 85,846,295.40/x
  3. Step 3: Cross multiply
    279,936,421.80x = 419,904,632.70 × 85,846,295.40
  4. Step 4: Simplify right side
    279,936,421.80x = 36,047,257,138,592,704
  5. Step 5: Solve for x
    x = 36,047,257,138,592,704/279,936,421.80
  6. Step 6: Final answer
    x = 128,769,443.10

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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.