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Finding the Fourth Proportional to 415,125.42, 622,465.41 and 130,762.86

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Solution

The fourth proportional to 415,125.42, 622,465.41 and 130,762.86 is: 196,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,125.42 : 622,465.41 = 130,762.86 : x
  2. Step 2: Convert to fraction form
    415,125.42/622,465.41 = 130,762.86/x
  3. Step 3: Cross multiply
    415,125.42x = 622,465.41 × 130,762.86
  4. Step 4: Simplify right side
    415,125.42x = 81,395,357,262.67
  5. Step 5: Solve for x
    x = 81,395,357,262.67/415,125.42
  6. Step 6: Final answer
    x = 196,074.13

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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.