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Finding the Fourth Proportional to 320,038.51, 479,722.46 and 149,119.29

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Solution

The fourth proportional to 320,038.51, 479,722.46 and 149,119.29 is: 223,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,038.51 : 479,722.46 = 149,119.29 : x
  2. Step 2: Convert to fraction form
    320,038.51/479,722.46 = 149,119.29/x
  3. Step 3: Cross multiply
    320,038.51x = 479,722.46 × 149,119.29
  4. Step 4: Simplify right side
    320,038.51x = 71,535,872,632.25
  5. Step 5: Solve for x
    x = 71,535,872,632.25/320,038.51
  6. Step 6: Final answer
    x = 223,522.70

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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.