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Finding the Fourth Proportional to 290,306, 435,147.96 and 121,783.88

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Solution

The fourth proportional to 290,306, 435,147.96 and 121,783.88 is: 182,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,306 : 435,147.96 = 121,783.88 : x
  2. Step 2: Convert to fraction form
    290,306/435,147.96 = 121,783.88/x
  3. Step 3: Cross multiply
    290,306x = 435,147.96 × 121,783.88
  4. Step 4: Simplify right side
    290,306x = 52,994,006,942.88
  5. Step 5: Solve for x
    x = 52,994,006,942.88/290,306
  6. Step 6: Final answer
    x = 182,545.34

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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.