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Finding the Fourth Proportional to 468,765.81, 646,471.62 and 307,559.61

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Solution

The fourth proportional to 468,765.81, 646,471.62 and 307,559.61 is: 424,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,765.81 : 646,471.62 = 307,559.61 : x
  2. Step 2: Convert to fraction form
    468,765.81/646,471.62 = 307,559.61/x
  3. Step 3: Cross multiply
    468,765.81x = 646,471.62 × 307,559.61
  4. Step 4: Simplify right side
    468,765.81x = 198,828,559,323.27
  5. Step 5: Solve for x
    x = 198,828,559,323.27/468,765.81
  6. Step 6: Final answer
    x = 424,153.29

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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.