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Finding the Fourth Proportional to 415,809.99, 623,650.19 and 135,325.35

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Solution

The fourth proportional to 415,809.99, 623,650.19 and 135,325.35 is: 202,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,809.99 : 623,650.19 = 135,325.35 : x
  2. Step 2: Convert to fraction form
    415,809.99/623,650.19 = 135,325.35/x
  3. Step 3: Cross multiply
    415,809.99x = 623,650.19 × 135,325.35
  4. Step 4: Simplify right side
    415,809.99x = 84,395,679,562.69
  5. Step 5: Solve for x
    x = 84,395,679,562.69/415,809.99
  6. Step 6: Final answer
    x = 202,966.94

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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.