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Finding the Fourth Proportional to 209,952,759.70, 314,929,139.55 and 189,545,425.30

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Solution

The fourth proportional to 209,952,759.70, 314,929,139.55 and 189,545,425.30 is: 284,318,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,759.70 : 314,929,139.55 = 189,545,425.30 : x
  2. Step 2: Convert to fraction form
    209,952,759.70/314,929,139.55 = 189,545,425.30/x
  3. Step 3: Cross multiply
    209,952,759.70x = 314,929,139.55 × 189,545,425.30
  4. Step 4: Simplify right side
    209,952,759.70x = 59,693,377,695,367,808
  5. Step 5: Solve for x
    x = 59,693,377,695,367,808/209,952,759.70
  6. Step 6: Final answer
    x = 284,318,137.95

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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.