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Finding the Fourth Proportional to 415,068.81, 622,603.38 and 320,437.15

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Solution

The fourth proportional to 415,068.81, 622,603.38 and 320,437.15 is: 480,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,068.81 : 622,603.38 = 320,437.15 : x
  2. Step 2: Convert to fraction form
    415,068.81/622,603.38 = 320,437.15/x
  3. Step 3: Cross multiply
    415,068.81x = 622,603.38 × 320,437.15
  4. Step 4: Simplify right side
    415,068.81x = 199,505,252,667.57
  5. Step 5: Solve for x
    x = 199,505,252,667.57/415,068.81
  6. Step 6: Final answer
    x = 480,655.85

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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.