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Finding the Fourth Proportional to 415,008.12, 622,599.66 and 134,503.50

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Solution

The fourth proportional to 415,008.12, 622,599.66 and 134,503.50 is: 201,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,008.12 : 622,599.66 = 134,503.50 : x
  2. Step 2: Convert to fraction form
    415,008.12/622,599.66 = 134,503.50/x
  3. Step 3: Cross multiply
    415,008.12x = 622,599.66 × 134,503.50
  4. Step 4: Simplify right side
    415,008.12x = 83,741,833,368.81
  5. Step 5: Solve for x
    x = 83,741,833,368.81/415,008.12
  6. Step 6: Final answer
    x = 201,783.60

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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.