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Finding the Fourth Proportional to 290,948,998.95, 436,423,498.43 and 290,948,998.95

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Solution

The fourth proportional to 290,948,998.95, 436,423,498.43 and 290,948,998.95 is: 436,423,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,948,998.95 : 436,423,498.43 = 290,948,998.95 : x
  2. Step 2: Convert to fraction form
    290,948,998.95/436,423,498.43 = 290,948,998.95/x
  3. Step 3: Cross multiply
    290,948,998.95x = 436,423,498.43 × 290,948,998.95
  4. Step 4: Simplify right side
    290,948,998.95x = 126,976,979,985,010,656
  5. Step 5: Solve for x
    x = 126,976,979,985,010,656/290,948,998.95
  6. Step 6: Final answer
    x = 436,423,498.43

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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.