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Finding the Fourth Proportional to 407,996,978.20, 611,995,467.30 and 294,056,027.80

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Solution

The fourth proportional to 407,996,978.20, 611,995,467.30 and 294,056,027.80 is: 441,084,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,996,978.20 : 611,995,467.30 = 294,056,027.80 : x
  2. Step 2: Convert to fraction form
    407,996,978.20/611,995,467.30 = 294,056,027.80/x
  3. Step 3: Cross multiply
    407,996,978.20x = 611,995,467.30 × 294,056,027.80
  4. Step 4: Simplify right side
    407,996,978.20x = 179,960,956,145,842,784
  5. Step 5: Solve for x
    x = 179,960,956,145,842,784/407,996,978.20
  6. Step 6: Final answer
    x = 441,084,041.70

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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.