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Finding the Fourth Proportional to 420,472.94, 630,771.82 and 136,068.16

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Solution

The fourth proportional to 420,472.94, 630,771.82 and 136,068.16 is: 204,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,472.94 : 630,771.82 = 136,068.16 : x
  2. Step 2: Convert to fraction form
    420,472.94/630,771.82 = 136,068.16/x
  3. Step 3: Cross multiply
    420,472.94x = 630,771.82 × 136,068.16
  4. Step 4: Simplify right side
    420,472.94x = 85,827,960,927.25
  5. Step 5: Solve for x
    x = 85,827,960,927.25/420,472.94
  6. Step 6: Final answer
    x = 204,122.44

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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.