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Finding the Fourth Proportional to 456,768.97, 685,248.02 and 136,907.92

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Solution

The fourth proportional to 456,768.97, 685,248.02 and 136,907.92 is: 205,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,768.97 : 685,248.02 = 136,907.92 : x
  2. Step 2: Convert to fraction form
    456,768.97/685,248.02 = 136,907.92/x
  3. Step 3: Cross multiply
    456,768.97x = 685,248.02 × 136,907.92
  4. Step 4: Simplify right side
    456,768.97x = 93,815,881,102.32
  5. Step 5: Solve for x
    x = 93,815,881,102.32/456,768.97
  6. Step 6: Final answer
    x = 205,390.22

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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.