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Finding the Fourth Proportional to 310,681.74, 428,737.98 and 174,716.63

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Solution

The fourth proportional to 310,681.74, 428,737.98 and 174,716.63 is: 241,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,681.74 : 428,737.98 = 174,716.63 : x
  2. Step 2: Convert to fraction form
    310,681.74/428,737.98 = 174,716.63/x
  3. Step 3: Cross multiply
    310,681.74x = 428,737.98 × 174,716.63
  4. Step 4: Simplify right side
    310,681.74x = 74,907,652,874.92
  5. Step 5: Solve for x
    x = 74,907,652,874.92/310,681.74
  6. Step 6: Final answer
    x = 241,107.36

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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.