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Finding the Fourth Proportional to 403,285.81, 604,928.73 and 122,803.06

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Solution

The fourth proportional to 403,285.81, 604,928.73 and 122,803.06 is: 184,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,285.81 : 604,928.73 = 122,803.06 : x
  2. Step 2: Convert to fraction form
    403,285.81/604,928.73 = 122,803.06/x
  3. Step 3: Cross multiply
    403,285.81x = 604,928.73 × 122,803.06
  4. Step 4: Simplify right side
    403,285.81x = 74,287,099,125.91
  5. Step 5: Solve for x
    x = 74,287,099,125.91/403,285.81
  6. Step 6: Final answer
    x = 184,204.59

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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.