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Finding the Fourth Proportional to 420,715.91, 630,698.73 and 154,414.64

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Solution

The fourth proportional to 420,715.91, 630,698.73 and 154,414.64 is: 231,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,715.91 : 630,698.73 = 154,414.64 : x
  2. Step 2: Convert to fraction form
    420,715.91/630,698.73 = 154,414.64/x
  3. Step 3: Cross multiply
    420,715.91x = 630,698.73 × 154,414.64
  4. Step 4: Simplify right side
    420,715.91x = 97,389,114,187.91
  5. Step 5: Solve for x
    x = 97,389,114,187.91/420,715.91
  6. Step 6: Final answer
    x = 231,484.27

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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.