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Finding the Fourth Proportional to 415,391.76, 623,090.40 and 149,154.72

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Solution

The fourth proportional to 415,391.76, 623,090.40 and 149,154.72 is: 223,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,391.76 : 623,090.40 = 149,154.72 : x
  2. Step 2: Convert to fraction form
    415,391.76/623,090.40 = 149,154.72/x
  3. Step 3: Cross multiply
    415,391.76x = 623,090.40 × 149,154.72
  4. Step 4: Simplify right side
    415,391.76x = 92,936,874,146.69
  5. Step 5: Solve for x
    x = 92,936,874,146.69/415,391.76
  6. Step 6: Final answer
    x = 223,733.07

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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.