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Finding the Fourth Proportional to 312,447.67, 465,927.94 and 309,605.93

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Solution

The fourth proportional to 312,447.67, 465,927.94 and 309,605.93 is: 461,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,447.67 : 465,927.94 = 309,605.93 : x
  2. Step 2: Convert to fraction form
    312,447.67/465,927.94 = 309,605.93/x
  3. Step 3: Cross multiply
    312,447.67x = 465,927.94 × 309,605.93
  4. Step 4: Simplify right side
    312,447.67x = 144,254,053,176.68
  5. Step 5: Solve for x
    x = 144,254,053,176.68/312,447.67
  6. Step 6: Final answer
    x = 461,690.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.