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Finding the Fourth Proportional to 420,084.64, 630,208.98 and 135,845.80

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Solution

The fourth proportional to 420,084.64, 630,208.98 and 135,845.80 is: 203,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,084.64 : 630,208.98 = 135,845.80 : x
  2. Step 2: Convert to fraction form
    420,084.64/630,208.98 = 135,845.80/x
  3. Step 3: Cross multiply
    420,084.64x = 630,208.98 × 135,845.80
  4. Step 4: Simplify right side
    420,084.64x = 85,611,243,055.28
  5. Step 5: Solve for x
    x = 85,611,243,055.28/420,084.64
  6. Step 6: Final answer
    x = 203,795.22

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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.