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Finding the Fourth Proportional to 312,468,673.53, 468,794,019.47 and 139,905,130.71

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Solution

The fourth proportional to 312,468,673.53, 468,794,019.47 and 139,905,130.71 is: 209,898,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,468,673.53 : 468,794,019.47 = 139,905,130.71 : x
  2. Step 2: Convert to fraction form
    312,468,673.53/468,794,019.47 = 139,905,130.71/x
  3. Step 3: Cross multiply
    312,468,673.53x = 468,794,019.47 × 139,905,130.71
  4. Step 4: Simplify right side
    312,468,673.53x = 65,586,688,569,317,112
  5. Step 5: Solve for x
    x = 65,586,688,569,317,112/312,468,673.53
  6. Step 6: Final answer
    x = 209,898,444.63

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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.