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Finding the Fourth Proportional to 647,511,208.80, 971,266,813.20 and 534,137,128.80

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Solution

The fourth proportional to 647,511,208.80, 971,266,813.20 and 534,137,128.80 is: 801,205,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,511,208.80 : 971,266,813.20 = 534,137,128.80 : x
  2. Step 2: Convert to fraction form
    647,511,208.80/971,266,813.20 = 534,137,128.80/x
  3. Step 3: Cross multiply
    647,511,208.80x = 971,266,813.20 × 534,137,128.80
  4. Step 4: Simplify right side
    647,511,208.80x = 518,789,666,901,373,952
  5. Step 5: Solve for x
    x = 518,789,666,901,373,952/647,511,208.80
  6. Step 6: Final answer
    x = 801,205,693.20

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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.