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Finding the Fourth Proportional to 429,827,584, 644,678,385.84 and 211,419,300.64

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Solution

The fourth proportional to 429,827,584, 644,678,385.84 and 211,419,300.64 is: 317,097,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,827,584 : 644,678,385.84 = 211,419,300.64 : x
  2. Step 2: Convert to fraction form
    429,827,584/644,678,385.84 = 211,419,300.64/x
  3. Step 3: Cross multiply
    429,827,584x = 644,678,385.84 × 211,419,300.64
  4. Step 4: Simplify right side
    429,827,584x = 136,297,453,472,016,880
  5. Step 5: Solve for x
    x = 136,297,453,472,016,880/429,827,584
  6. Step 6: Final answer
    x = 317,097,967.99

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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.