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Finding the Fourth Proportional to 442,866,467.40, 664,299,701.10 and 212,780,070.60

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Solution

The fourth proportional to 442,866,467.40, 664,299,701.10 and 212,780,070.60 is: 319,170,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,866,467.40 : 664,299,701.10 = 212,780,070.60 : x
  2. Step 2: Convert to fraction form
    442,866,467.40/664,299,701.10 = 212,780,070.60/x
  3. Step 3: Cross multiply
    442,866,467.40x = 664,299,701.10 × 212,780,070.60
  4. Step 4: Simplify right side
    442,866,467.40x = 141,349,737,299,616,896
  5. Step 5: Solve for x
    x = 141,349,737,299,616,896/442,866,467.40
  6. Step 6: Final answer
    x = 319,170,105.90

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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.