Home / 470,353,006.98-649,123,508.07-282,188,382.12

Finding the Fourth Proportional to 470,353,006.98, 649,123,508.07 and 282,188,382.12

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Solution

The fourth proportional to 470,353,006.98, 649,123,508.07 and 282,188,382.12 is: 389,441,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,353,006.98 : 649,123,508.07 = 282,188,382.12 : x
  2. Step 2: Convert to fraction form
    470,353,006.98/649,123,508.07 = 282,188,382.12/x
  3. Step 3: Cross multiply
    470,353,006.98x = 649,123,508.07 × 282,188,382.12
  4. Step 4: Simplify right side
    470,353,006.98x = 183,175,112,538,332,096
  5. Step 5: Solve for x
    x = 183,175,112,538,332,096/470,353,006.98
  6. Step 6: Final answer
    x = 389,441,780.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.