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Finding the Fourth Proportional to 407,996,978.70, 611,995,468.05 and 294,056,028.30

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Solution

The fourth proportional to 407,996,978.70, 611,995,468.05 and 294,056,028.30 is: 441,084,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,996,978.70 : 611,995,468.05 = 294,056,028.30 : x
  2. Step 2: Convert to fraction form
    407,996,978.70/611,995,468.05 = 294,056,028.30/x
  3. Step 3: Cross multiply
    407,996,978.70x = 611,995,468.05 × 294,056,028.30
  4. Step 4: Simplify right side
    407,996,978.70x = 179,960,956,672,382,528
  5. Step 5: Solve for x
    x = 179,960,956,672,382,528/407,996,978.70
  6. Step 6: Final answer
    x = 441,084,042.45

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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.