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Finding the Fourth Proportional to 320,003.36, 480,306.36 and 162,344.96

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Solution

The fourth proportional to 320,003.36, 480,306.36 and 162,344.96 is: 243,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,003.36 : 480,306.36 = 162,344.96 : x
  2. Step 2: Convert to fraction form
    320,003.36/480,306.36 = 162,344.96/x
  3. Step 3: Cross multiply
    320,003.36x = 480,306.36 × 162,344.96
  4. Step 4: Simplify right side
    320,003.36x = 77,975,316,801.95
  5. Step 5: Solve for x
    x = 77,975,316,801.95/320,003.36
  6. Step 6: Final answer
    x = 243,670.31

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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.