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Finding the Fourth Proportional to 415,352.63, 623,028.89 and 99,809.54

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Solution

The fourth proportional to 415,352.63, 623,028.89 and 99,809.54 is: 149,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,352.63 : 623,028.89 = 99,809.54 : x
  2. Step 2: Convert to fraction form
    415,352.63/623,028.89 = 99,809.54/x
  3. Step 3: Cross multiply
    415,352.63x = 623,028.89 × 99,809.54
  4. Step 4: Simplify right side
    415,352.63x = 62,184,227,976.14
  5. Step 5: Solve for x
    x = 62,184,227,976.14/415,352.63
  6. Step 6: Final answer
    x = 149,714.30

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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.