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Finding the Fourth Proportional to 379,355.51, 523,565.42 and 226,400.18

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Solution

The fourth proportional to 379,355.51, 523,565.42 and 226,400.18 is: 312,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,355.51 : 523,565.42 = 226,400.18 : x
  2. Step 2: Convert to fraction form
    379,355.51/523,565.42 = 226,400.18/x
  3. Step 3: Cross multiply
    379,355.51x = 523,565.42 × 226,400.18
  4. Step 4: Simplify right side
    379,355.51x = 118,535,301,579.95
  5. Step 5: Solve for x
    x = 118,535,301,579.95/379,355.51
  6. Step 6: Final answer
    x = 312,464.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.