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Finding the Fourth Proportional to 456,810.66, 685,316.70 and 136,949.76

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Solution

The fourth proportional to 456,810.66, 685,316.70 and 136,949.76 is: 205,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,810.66 : 685,316.70 = 136,949.76 : x
  2. Step 2: Convert to fraction form
    456,810.66/685,316.70 = 136,949.76/x
  3. Step 3: Cross multiply
    456,810.66x = 685,316.70 × 136,949.76
  4. Step 4: Simplify right side
    456,810.66x = 93,853,957,588.99
  5. Step 5: Solve for x
    x = 93,853,957,588.99/456,810.66
  6. Step 6: Final answer
    x = 205,454.83

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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.