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Finding the Fourth Proportional to 323,920.16, 485,973.62 and 99,313.75

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Solution

The fourth proportional to 323,920.16, 485,973.62 and 99,313.75 is: 148,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,920.16 : 485,973.62 = 99,313.75 : x
  2. Step 2: Convert to fraction form
    323,920.16/485,973.62 = 99,313.75/x
  3. Step 3: Cross multiply
    323,920.16x = 485,973.62 × 99,313.75
  4. Step 4: Simplify right side
    323,920.16x = 48,263,860,911.64
  5. Step 5: Solve for x
    x = 48,263,860,911.64/323,920.16
  6. Step 6: Final answer
    x = 148,999.25

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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.