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Finding the Fourth Proportional to 403,009, 604,491.62 and 122,504.38

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Solution

The fourth proportional to 403,009, 604,491.62 and 122,504.38 is: 183,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,009 : 604,491.62 = 122,504.38 : x
  2. Step 2: Convert to fraction form
    403,009/604,491.62 = 122,504.38/x
  3. Step 3: Cross multiply
    403,009x = 604,491.62 × 122,504.38
  4. Step 4: Simplify right side
    403,009x = 74,052,871,123.30
  5. Step 5: Solve for x
    x = 74,052,871,123.30/403,009
  6. Step 6: Final answer
    x = 183,749.92

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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.