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Finding the Fourth Proportional to 338,607.36, 505,438.56 and 313,938

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Solution

The fourth proportional to 338,607.36, 505,438.56 and 313,938 is: 468,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,607.36 : 505,438.56 = 313,938 : x
  2. Step 2: Convert to fraction form
    338,607.36/505,438.56 = 313,938/x
  3. Step 3: Cross multiply
    338,607.36x = 505,438.56 × 313,938
  4. Step 4: Simplify right side
    338,607.36x = 158,676,370,649.28
  5. Step 5: Solve for x
    x = 158,676,370,649.28/338,607.36
  6. Step 6: Final answer
    x = 468,614.65

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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.