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Finding the Fourth Proportional to 415,315.20, 622,742.40 and 165,715.20

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Solution

The fourth proportional to 415,315.20, 622,742.40 and 165,715.20 is: 248,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,315.20 : 622,742.40 = 165,715.20 : x
  2. Step 2: Convert to fraction form
    415,315.20/622,742.40 = 165,715.20/x
  3. Step 3: Cross multiply
    415,315.20x = 622,742.40 × 165,715.20
  4. Step 4: Simplify right side
    415,315.20x = 103,197,881,364.48
  5. Step 5: Solve for x
    x = 103,197,881,364.48/415,315.20
  6. Step 6: Final answer
    x = 248,480.87

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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.