Home / 1,119,950,709.76-1,680,006,786.24-429,857,964.80

Finding the Fourth Proportional to 1,119,950,709.76, 1,680,006,786.24 and 429,857,964.80

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Solution

The fourth proportional to 1,119,950,709.76, 1,680,006,786.24 and 429,857,964.80 is: 644,817,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119,950,709.76 : 1,680,006,786.24 = 429,857,964.80 : x
  2. Step 2: Convert to fraction form
    1,119,950,709.76/1,680,006,786.24 = 429,857,964.80/x
  3. Step 3: Cross multiply
    1,119,950,709.76x = 1,680,006,786.24 × 429,857,964.80
  4. Step 4: Simplify right side
    1,119,950,709.76x = 722,164,297,983,315,072
  5. Step 5: Solve for x
    x = 722,164,297,983,315,072/1,119,950,709.76
  6. Step 6: Final answer
    x = 644,817,929.66

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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.