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Finding the Fourth Proportional to 415,068.80, 622,603.37 and 320,437.14

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Solution

The fourth proportional to 415,068.80, 622,603.37 and 320,437.14 is: 480,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,068.80 : 622,603.37 = 320,437.14 : x
  2. Step 2: Convert to fraction form
    415,068.80/622,603.37 = 320,437.14/x
  3. Step 3: Cross multiply
    415,068.80x = 622,603.37 × 320,437.14
  4. Step 4: Simplify right side
    415,068.80x = 199,505,243,237.16
  5. Step 5: Solve for x
    x = 199,505,243,237.16/415,068.80
  6. Step 6: Final answer
    x = 480,655.84

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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.