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Finding the Fourth Proportional to 312,468,674.53, 468,794,020.97 and 139,905,131.71

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Solution

The fourth proportional to 312,468,674.53, 468,794,020.97 and 139,905,131.71 is: 209,898,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,468,674.53 : 468,794,020.97 = 139,905,131.71 : x
  2. Step 2: Convert to fraction form
    312,468,674.53/468,794,020.97 = 139,905,131.71/x
  3. Step 3: Cross multiply
    312,468,674.53x = 468,794,020.97 × 139,905,131.71
  4. Step 4: Simplify right side
    312,468,674.53x = 65,586,689,248,668,360
  5. Step 5: Solve for x
    x = 65,586,689,248,668,360/312,468,674.53
  6. Step 6: Final answer
    x = 209,898,446.13

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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.