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Finding the Fourth Proportional to 456,776.74, 685,259.67 and 136,915.69

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Solution

The fourth proportional to 456,776.74, 685,259.67 and 136,915.69 is: 205,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,776.74 : 685,259.67 = 136,915.69 : x
  2. Step 2: Convert to fraction form
    456,776.74/685,259.67 = 136,915.69/x
  3. Step 3: Cross multiply
    456,776.74x = 685,259.67 × 136,915.69
  4. Step 4: Simplify right side
    456,776.74x = 93,822,799,177.21
  5. Step 5: Solve for x
    x = 93,822,799,177.21/456,776.74
  6. Step 6: Final answer
    x = 205,401.88

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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.