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Finding the Fourth Proportional to 420,498.64, 630,372.84 and 154,196.92

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Solution

The fourth proportional to 420,498.64, 630,372.84 and 154,196.92 is: 231,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,498.64 : 630,372.84 = 154,196.92 : x
  2. Step 2: Convert to fraction form
    420,498.64/630,372.84 = 154,196.92/x
  3. Step 3: Cross multiply
    420,498.64x = 630,372.84 × 154,196.92
  4. Step 4: Simplify right side
    420,498.64x = 97,201,550,379.65
  5. Step 5: Solve for x
    x = 97,201,550,379.65/420,498.64
  6. Step 6: Final answer
    x = 231,157.82

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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.