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Finding the Fourth Proportional to 289,593,649.20, 434,390,473.80 and 276,156,721.20

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Solution

The fourth proportional to 289,593,649.20, 434,390,473.80 and 276,156,721.20 is: 414,235,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,593,649.20 : 434,390,473.80 = 276,156,721.20 : x
  2. Step 2: Convert to fraction form
    289,593,649.20/434,390,473.80 = 276,156,721.20/x
  3. Step 3: Cross multiply
    289,593,649.20x = 434,390,473.80 × 276,156,721.20
  4. Step 4: Simplify right side
    289,593,649.20x = 119,959,848,965,122,496
  5. Step 5: Solve for x
    x = 119,959,848,965,122,496/289,593,649.20
  6. Step 6: Final answer
    x = 414,235,081.80

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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.