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Finding the Fourth Proportional to 456,765.71, 685,243.14 and 136,904.66

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Solution

The fourth proportional to 456,765.71, 685,243.14 and 136,904.66 is: 205,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,765.71 : 685,243.14 = 136,904.66 : x
  2. Step 2: Convert to fraction form
    456,765.71/685,243.14 = 136,904.66/x
  3. Step 3: Cross multiply
    456,765.71x = 685,243.14 × 136,904.66
  4. Step 4: Simplify right side
    456,765.71x = 93,812,980,908.23
  5. Step 5: Solve for x
    x = 93,812,980,908.23/456,765.71
  6. Step 6: Final answer
    x = 205,385.34

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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.