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Finding the Fourth Proportional to 420,874.32, 631,459.12 and 218,373.12

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Solution

The fourth proportional to 420,874.32, 631,459.12 and 218,373.12 is: 327,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,874.32 : 631,459.12 = 218,373.12 : x
  2. Step 2: Convert to fraction form
    420,874.32/631,459.12 = 218,373.12/x
  3. Step 3: Cross multiply
    420,874.32x = 631,459.12 × 218,373.12
  4. Step 4: Simplify right side
    420,874.32x = 137,893,698,186.85
  5. Step 5: Solve for x
    x = 137,893,698,186.85/420,874.32
  6. Step 6: Final answer
    x = 327,636.28

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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.