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Finding the Fourth Proportional to 420,499.64, 630,374.34 and 154,197.92

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Solution

The fourth proportional to 420,499.64, 630,374.34 and 154,197.92 is: 231,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,499.64 : 630,374.34 = 154,197.92 : x
  2. Step 2: Convert to fraction form
    420,499.64/630,374.34 = 154,197.92/x
  3. Step 3: Cross multiply
    420,499.64x = 630,374.34 × 154,197.92
  4. Step 4: Simplify right side
    420,499.64x = 97,202,412,049.37
  5. Step 5: Solve for x
    x = 97,202,412,049.37/420,499.64
  6. Step 6: Final answer
    x = 231,159.32

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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.